Question

What equatiom results from completing the square and then factoring? x^2-10x=46

Answer 1

Take half of the coefficient of the bx term and square on both sides:

x^2 - 10x + (-10/2)^2 = 46 + (-10/2)^2

x^2 - 10x + (-5)^2 = 46 + (-5)^2

x^2 - 10x + 25 = 46 + 25

x^2 - 10x + 25 = 71

Now factor x^2 - 10x + 25 which will give us (x - 5)^2

(x - 5)^2 = 71 is the answer.