Respuesta :

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x^2 – 12x + 36 = 0
(x-6)(x-6)=0
x=6 x=6
Not a solution

x^2 + 12x – 36 = 0
Doesn't factor
Not a solution

x^2 + 36 = 0
x=√-36
Not a solution

x^2 – 36 = 0
(x-6)(x+6)= 0
x=6 x=-6
Solution


ANSWER: The equation with solutions of x=6 and x=-6 is the last choice: x^2 - 36= 0.

Hope this helps! :)
ashishdwivedilVT

The Equation whose solutions are 6 and -6 is x²-36.

What is Quadratic Equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given solutions are α = 6 and β = -6.

So, General equation

( x - α ) ( x - β ) = 0

( x - 6 ) ( x - (-6)) = 0

(x - 6) ( x + 6) = 0

x(x+6) -6(x+6) = 0

x² + 6x -6x - 36 = 0

x² -36 = 0

Thus, the Equation whose solutions are 6 and -6 is x² - 36.

Learn more about Quadratic Equation from:

https://brainly.com/question/1863222

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