Quadratic Formula (Q1.) w/ calculator Casio fx 115 es plus

blackpenredpen
6 Sept 201304:10
EducationalLearning
32 Likes 10 Comments

TLDRThis video script demonstrates the use of a Casio fx115ES Plus scientific calculator to solve a quadratic equation, 2x squared plus 9x minus 5 equals zero. The presenter guides viewers through the calculator's 'equation' mode, where they input coefficients a, b, and c, and the calculator provides the solutions, x1 as one-half and x2 as negative five. The script also highlights the calculator's ability to display answers in fractions or decimals and emphasizes the importance of using the calculator to check answers rather than to solve the problem entirely, ensuring accuracy especially during tests.

Takeaways
  • 🔢 The video introduces a Casio fx115ES Plus scientific calculator, which is the presenter's favorite for its features.
  • 📱 The calculator has a mode feature that allows access to different functionalities, including solving equations.
  • 🧩 The 'eqn' mode stands for 'equations' and is used for solving quadratic equations of the form ax² + bx + c = 0.
  • 🔑 The user is guided to input the coefficients a, b, and c into the calculator to solve the equation 2x² + 9x - 5 = 0.
  • 📝 After inputting the coefficients, the user is instructed to press 'equal' to get the solutions for x.
  • 🎯 The calculator provides the first solution as x1 = 1/2, which matches the solution found earlier in the script.
  • 🔄 To get the second solution, x2 = -5, the user can simply press the equal sign again.
  • 📉 The calculator initially provides the answer in fraction form, but it can be converted to decimal by pressing 's to d'.
  • 🔄 The presenter emphasizes the calculator's utility for checking answers during tests to avoid mistakes.
  • 🛠️ The video also explains how to clear the equation mode and return to regular computation by going back to mode one.
  • 📚 The presenter reminds viewers that the calculator is for checking answers and not for skipping steps in the problem-solving process.
Q & A

  • What is the specific model of the calculator being discussed in the script?

    -The specific model discussed is the Casio fx115ES Plus version.

  • What is the primary purpose of the calculator mentioned in the video?

    -The primary purpose of the calculator is to solve scientific calculations, particularly equations like quadratic ones.

  • What is the mode the user should select to solve quadratic equations on this calculator?

    -The user should select the 'eqn' mode, which stands for equations, to solve quadratic equations.

  • How many options are available under the 'eqn' mode for solving equations?

    -There are four options available under the 'eqn' mode for solving different types of equations.

  • What does 'e2n' stand for in the context of the calculator?

    -In the context of the calculator, 'e2n' stands for equations.

  • Which option under 'eqn' mode is used for solving an equation of the form ax squared plus bx plus c equals zero?

    -The third option under 'eqn' mode is used for solving equations of the form ax squared plus bx plus c equals zero.

  • What values for a, b, and c does the script user input into the calculator for the example equation?

    -The user inputs 'a' as 2, 'b' as 9, and 'c' as -5 for the example equation.

  • What is the first solution the calculator provides for the example equation 2x squared plus 9x minus 5 equals 0?

    -The first solution the calculator provides is x1 equals one-half.

  • How can the user switch between fraction and decimal formats for the calculator's answers?

    -The user can switch between fraction and decimal formats by pressing the 's to d' button on the calculator.

  • What is the second solution the calculator provides for the example equation, and how can it be viewed?

    -The second solution is x2 equals negative 5, which can be viewed by pressing the equal sign on the calculator.

  • How can the user return to regular computation mode after using the equation solving feature?

    -The user can return to regular computation mode by going back to 'mode' and selecting number one.

  • What is the significance of using the calculator's equation solving feature during tests?

    -The significance is to check answers for accuracy and avoid mistakes, but it does not replace the need to show the problem-solving steps.

Outlines
00:00
🔢 Introduction to the Casio fx115ES Plus Scientific Calculator

In this paragraph, the speaker introduces their favorite scientific calculator, the Casio fx115ES Plus, highlighting its various features and capabilities. They explain how to turn it on and access the regular calculation functions. The speaker emphasizes the calculator's 'mode' feature, which unlocks more advanced capabilities, such as solving equations. The focus is on using the calculator to check answers for a quadratic equation, 2x squared plus 9x minus 5 equals zero, which was previously discussed.

📚 Using the Equation Mode for Quadratic Equations

The speaker demonstrates how to use the 'equation' mode on the Casio fx115ES Plus calculator to solve a specific quadratic equation. They guide the user through selecting the appropriate equation type (ax squared plus bx plus c equals zero) and inputting the coefficients a, b, and c. The speaker then shows how to input the values for a, b, and c, and how to use the calculator to find the solutions for x, which are one-half and negative five. They also mention the option to switch between fraction and decimal formats for the answers.

🔄 Navigating Between Equation Mode and Regular Calculations

The speaker concludes the tutorial by explaining how to clear the equation mode and return to regular computation on the calculator. They mention the importance of going back to the 'mode' and selecting the first option for standard calculations after solving an equation. The speaker also provides a brief example of a regular calculation, multiplying 8 by 7, to illustrate the transition back to basic operations.

Mindmap
Keywords
💡Calculator
A calculator is an electronic device used to perform arithmetic operations and more complex calculations. In the video's context, the Casio FX115ES Plus is highlighted as a favorite scientific calculator, known for its advanced features that go beyond basic calculations, such as solving equations. The script demonstrates how to use this calculator to check solutions to a quadratic equation, showcasing its utility in educational settings.
💡Scientific Calculator
A scientific calculator is a type of calculator designed to perform functions and calculations useful in scientific and engineering applications. It typically includes trigonometric, logarithmic, and exponential functions, as well as the ability to solve equations. The video emphasizes the Casio FX115ES Plus as an exemplary scientific calculator with a range of features that facilitate complex problem-solving.
💡Mode
In the context of the video, 'mode' refers to the different operational settings or functions available on the calculator. The script instructs viewers to switch to a specific mode to access advanced features, such as solving equations, which is essential for demonstrating the calculator's capabilities beyond standard arithmetic.
💡Equations
Equations are mathematical statements that assert the equality of two expressions. In the script, the focus is on solving a quadratic equation, which is a second-degree polynomial equation. The calculator's 'equations' mode is used to input and solve for the variable x in the equation 2x^2 + 9x - 5 = 0.
💡Quadratic Equation
A quadratic equation is an equation of the second degree, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants. The video demonstrates solving such an equation using the calculator's equation-solving feature, which is a common task in algebra and a key point in the script.
💡Coefficients
In the context of the quadratic equation, coefficients are the numerical factors of the variables in the equation, in this case, 'a', 'b', and 'c'. The script mentions entering the coefficients 2, 9, and -5 into the calculator to solve the equation, illustrating the process of inputting these values for calculation.
💡Solution
A solution to an equation is the value of the variable that makes the equation true. The video script describes finding the solutions to the quadratic equation using the calculator, which provides two answers: x1 = 1/2 and x2 = -5, verifying the correctness of the manual calculations.
💡Fraction
A fraction represents a part of a whole, expressed as one integer divided by another. The calculator initially provides the solution as a fraction (one-half), which is a common format for expressing exact values in mathematics. The script notes that the calculator can also display answers in decimal form if preferred.
💡Decimal
Decimal refers to a way of expressing numbers using base-10, which includes digits to the right of a decimal point. The script mentions the option to switch from fractions to decimals on the calculator, showing the flexibility in how results can be presented to suit different preferences or requirements.
💡Clear
In the context of the calculator, 'clear' refers to the function that resets or erases the current input or calculation. The script explains how to clear the equation mode and return to regular computation mode, which is an important step for reusing the calculator for different tasks.
💡Regular Computation
Regular computation refers to basic arithmetic operations such as addition, subtraction, multiplication, and division. The script contrasts this with the advanced features of the calculator, such as solving equations, and explains how to switch back to performing regular computations after using the advanced features.
Highlights

Introduction to using a Casio fx115ES Plus scientific calculator for solving equations.

The calculator is described as the best scientific calculator with many features.

Demonstration of turning on the calculator and navigating to its regular calculation mode.

Explanation of the 'mode' feature for accessing advanced calculator functions.

Highlighting the 'eqn' mode for solving equations.

Description of the four options available within the 'eqn' mode, focusing on the quadratic equation solver.

Guidance on selecting the third option for solving ax^2 + bx + c = 0 equations.

Instructions on inputting coefficients a, b, and c into the calculator.

Entering the values for a, b, and c based on the example equation 2x^2 + 9x - 5.

How to use the calculator to solve the equation and obtain the first solution x1.

Mention of the calculator providing fraction answers and the option to switch to decimal format.

Revealing the second solution x2 using the calculator.

Navigating the calculator to switch between solutions using the equal sign.

Emphasizing the importance of using the calculator to check answers rather than solving the entire problem.

Advice on how to clear the calculator and return to regular computation mode.

Final note on the calculator's utility during tests to avoid mistakes.

Transcripts

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