Question

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

Answer 1

Answer:

x = -15 and x = 1

Step-by-step 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: $x+7=\sqrt{64}$ and $x+7=-\sqrt{64}$.

This gives us  x=1, and x=-15

Answer 2

X=-15. X=1…..............