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What are the values of x in the equation x2 - 6x + 9 = 25?x = -2 or x = 8x= -1 or x = -11x= 1 or x = 11x = 2 or x = -8

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Given the equation:


x^2\text{ - 6x + 9 = 25}

First, let the equation equals zero by moving 25 to the left hand side:


\begin{gathered} x^2\text{ - 6x + 9 -25 = 0} \\ x^2\text{ - 6x -16}=\text{ 0} \end{gathered}

now factorize the equation:


*^2\text{ - 6x - 16}=\text{ 0}
*^2\text{ - 8x + 2x - 16 = 0}
*(x\text{ -8) + 2(x - 8) = 0}
(x\text{ + 2)(x - 8) = 0}

Therefore

x + 2 = 0;

User Marlin Pierce
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