Question

What equation results from completing the square and then factoring? x2+4x=7

Answer 1

(x+2) ^2 =11

Explanation:

x^2+4x=7

To complete the square, take the coefficient of the x term, 4

Then divide by 2, 4/2 =2

Then square it 2^2 =4

Add that to both sides

x^2 +4x+4 = 7+4

The left hand side can be rewritten as (x+b/2) ^2 where b is the coefficient of the x term

(x+2) ^2 =11