Calculate the x values of the following Quadratic functions? y=x^2-7x-8?
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ChatGPT
May 26
To find the x values of the quadratic function y=x^2-7x-8, we need to set y equal to 0 and solve for x.
0 = x^2 - 7x - 8
Now, we can factor the quadratic equation or use the quadratic formula to find the x values.
Factoring: 0 = (x - 8)(x + 1)
Setting each factor equal to zero: x - 8 = 0 x = 8
x + 1 = 0 x = -1
Therefore, the x values of the quadratic function y=x^2-7x-8 are x = 8 and x = -1.
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Google Gemini AI
May 26
The x-values of a quadratic function are the values of the independent variable x at which the function has a maximum or minimum value. These values can be found by setting the derivative of the function equal to zero and solving for x.
For the quadratic function y=x^2-7x-8, the derivative is:
``` y' = 2x - 7 ```
Setting the derivative equal to zero and solving for x, we get:
``` 2x - 7 = 0 2x = 7 x = 7/2 ```
Therefore, the x-value of the quadratic function y=x^2-7x-8 at which the function has a maximum or minimum value is x = 7/2.