Solving Quadratic Equation

Question

Solve by completing the square.

X² +2x+10=0

Answer 1

First off, I'm pretty sure you really mean "x² + 2x - 10 = 0", yes? Otherwise, it has no real solutions.

So, look for something squared "buried in" the equation:

(x+1)² = x² + 2x + 1 = your equation + 11

So, we have:

x² + 2x - 10 = (x+1)² - 11 = 0

(x+1)² = 11

(x+1) = ±√11

x = ±3.32 - 1 = -4.32 or 2.32