Question

Which equivalent equation results when completing the square to solve x^2-8x+7=0?

Answer 1

`(x-4)^2\text{ = 9 (option D)}`Step-by-step explanation:
`x^2\text{ - 8x + 7 = 0}`

Using complete the square method:

`\begin{gathered} x^2\text{ - 8x + 7 = 0} \\ x^2\text{ - 8x = -7} \\ \text{Add half the square of the coefficient of x to both sides:} \\ \text{half the coefficient = -8/2 = -4} \\ \text{square half the coefficient = (-4)}^2 \end{gathered}`

`\begin{gathered} (x-4)^2\text{ = -7 + 16} \\ (x-4)^2\text{ = 9 (option D)} \end{gathered}`