Question

What equation results from completing of the square and then factoring? X^2+4x=5

Answer 1

(x-1)(x+5)=0

x=1; x=-5

Explanation:

x²+4x=5

x²+4x+2²=5+2²

(x+2)²=3²

(x+2)²-3²=0

(x+2-3)(x+2+3)=0

(x-1)(x+5)=0

(x-1)=0 ; x=1

(x+5)=0; x= - 5