Question

What is the intermediate step in the form (x + a)^2 = b as a result of completing the square for the following equation?

5x^2 + 23x = 13x - 10

Answer 1

Answer: (x+1)²=-1

Explanation:

`5x^2+23x=13x-10\\5x^2+23x-13x=13x-10-13x\\5x^2+10x=-10\\5x^2+10x=-5-5\\5x^2+10x+5=-5-5+5\\5x^2+10x+5=-5\\`

Divide both parts of the equation by 5:

`x^2+2x+1=-1\\(x+1)^2=-1`