Question

What equation results from completing the square and then factoring?

x2 + 10x = 15

Answer 1

As long as the coefficient on the x^2 term is a 1, you can complete the square. Take half the x term 10, which is 5, square the 5 to get 25, and then add the 25 to both sides. This results in an equation that looks like this, before simplifying:

Answer 2

are you sure its not 25 at the end?

Answer 3

\[x ^{2}+10x+25=15+25\]

Answer 4

Then, simplifying:

Answer 5

\[(x+5)^{2}=40\]