Question

What equation results from completing the square and then factoring? x^2+2x=9

A.(x+2)²=8
B.(x+1)²=10
C.(x+2)²=10
D. (x+1)²=8

Answer 1

Answer: (x+1)^2=10

Explanation:

Answer 2

Ok so when you complete the square with a binomial that looks like

`x^(2)+bx`
you add

`((b)/(2))^(2)`
So that it factors into

`(x+(b)/(2))^(2)`
So, 2/2 squared is 1, so add it to both sides and we get

`x^(2)+2x+1=10`
Then the right side factors and it becomes

`(x+1)^(2)=10`