Question

solve by completing the square:
x^2+8x+6=0

Answer 1

this is (x+4)^2-10=0
(x+4)^2=10
x+4=+-sqrt(10)
x=+-sqrt(10)-4

Answer 2

can you explain this one to me

Answer 3

(x+4)^2 is the same as x^2+8x+16
if we substract 10, it will be the same as x^2+8x+6
so (x+4)^2-10 is the same as x^2+8x+6
we can write our equation in (x+4)^2-10=0 form and solve it

Answer 4

okay that makes sense, what do you do after the last step you have up there

Answer 5

10 goes to the other side of the equation
(x+4)^2=10
and we do square root
(x+4)=+-sqrt(10)
so x=+sqrt(10)-4 or x=-sqrt(10)-4 that's the answer

Answer 6

oh okay, you make this seem so simple haha, I dont know why im having so much trouble with it, thank you.

Answer 7

you're welcome