Question

What are the solutions to to the equation x^2+4x+4=12

Answer 1

`x = -2 +2\sqrt 3\\\\x = -2 -2\sqrt 3`

Step by step explanation:

`~~~~~~x^2 +4x +4 = 12\\\\\implies x^2 +2\cdot 2x + 2^2 = 12\\ \\\implies (x+2)^2 = 12\\\\\implies x +2 = \pm√(12)\\\\\implies x = -2 \pm√(12)\\\\\implies x = -2\pm√(4 * 3)\\\\\implies x = -2 \pm2\sqrt 3`

Answer 2

The solutions are (x-2-2sqrt3)(x-2+2sqrt3)