Solve the non linear equation x^2=3x+4 graphically using a calculator, Write the equations of the graphs you used to find the solution. I got this question wrong what would be my Y1= and Y2= equations. Not sure what I'm doing wrong but whenever I have an x^2 I get them wrong.
Since I am not familiar with the type of calculator you have, I can only solve it by the standard way ....
x^2=3x+4
x^2 - 3x - 4 = 0
(x-4)(x+1) = 0
x = 4 or x = -1
(quadratics don't come any easier than that one)
To solve the non-linear equation x^2 = 3x + 4 graphically using a calculator, you need to first rearrange the equation to the form y = x^2 - 3x - 4.
To find the equations of the graphs you used to find the solution, you need to graph two equations: y1 = x^2 - 3x - 4 and y2 = 0.
To graph these equations on a calculator, follow these steps:
1. Turn on the calculator, and navigate to the graphing mode.
2. Enter the equation y1 = x^2 - 3x - 4 into the calculator by pressing the appropriate buttons. Make sure you use the power/exponent function (^) to enter x^2.
3. Enter the equation y2 = 0 into the calculator. Since y2 is just a constant of zero, you don't need to enter anything specific for this equation.
4. Adjust the window settings on the calculator to display the desired range of x and y values. This will allow you to see the intersection points of the two graphs.
5. Plot the graphs by selecting the 'graph' or equivalent option on your calculator.
6. Locate the points where the y1 and y2 graphs intersect. These points represent the solutions to the equation x^2 = 3x + 4.
7. Note down the x-coordinates of the intersection points. These are the solutions to the equation.
It's important to ensure that the graphing mode on your calculator is set to display a reasonable range of x and y values. Otherwise, the intersection points may not be visible, leading to incorrect or missing solutions.
In this case, your y1 equation would be y1 = x^2 - 3x - 4, and your y2 equation would be y2 = 0.