Question

Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?

Answer 1

`x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^(2) + 10x - 36=0`

Explanation:

`x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0`