Question

Solve the following quadratic by
completing the square.
y = x2 + 10x + 10

Answer 1

x = -5 - √15 or x = -5 + √15

Explanation:

`y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm√(15)\\\\x=-5-√(15)\quad or\quad x= -5+√(15)`