Question

What equation results from completing the square then factoring x2+10x=15

Answer 1

(x + 5)² = 40

Explanation:

x² + 10x = 15

To complete the square, take half of the second coefficient, square it, and add the result to both sides.

(10/2)² = 25

x² + 10x + 25 = 40

Factor:

(x + 5)² = 40

Answer 2

For this case we have the following expression:

`x ^ 2 + 10x = 15`

Completing squares we have:

We divide the middle term by 2 and square it, this we will add to both sides of the equation:

`x ^ 2 + 10x + (\frac {10} {2}) ^ 2 = 15 + (\frac {10} {2}) ^ 2\\x ^ 2 + 10x + (5) ^ 2 = 15 + 25\\(x + 5) ^ 2 = 40\\(x + 5) (x + 5) = 40`

Answer:

`(x + 5) (x + 5) = 40`