Question

What equation results from completing the square and then factoring x^2+4x=7

Answer 1

Answer: x=−2+√11 or x=−2−√11

Explanation:

x2+4x−7=7−7

x2+4x−7=0

For this equation: a=1, b=4, c=-7

1x2+4x+−7=0

Step 2: Use quadratic formula with a=1, b=4, c=-7.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(1)(−7)

2(1)

x=

−4±√44

2

x=−2+√11 or x=−2−√11