# Which equation has solutions of 6 and -6? x2 – 12x + 36 = 0 x2 + 12x – 36 = 0 x2 + 36 = 0 x2 – 36 = 0

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## Question:

Which equation has solutions of 6 and -6? x2 – 12x + 36 = 0 x2 + 12x – 36 = 0 x2 + 36 = 0 x2 – 36 = 0

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

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.