Question

Solve x^2 +14x=15 by completing the square

Answer 1

x=-15. X=1…..............

Answer 2

x = -15 and x = 1

Explanation:

Since we have to use the complete the square method, we first need to rewrite the equation in the form
`x^(2)+2ax+a^(2)=(x+a)^(2)`.

This results in
`x^(2) + 14x + 7^(2) = 15 + 7^(2)`.

Next, we simplify the equation to get
`x^(2) +14x+7^(2) = 64`.

Factoring the left side gives us
`(x+7)^(2) = 64`.

Finally we solve the equations:
`x+7=√(64)` and
`x+7=-√(64)`.

This gives us x=1, and x=-15