# Find the number/s that if 12 is added to its square the result is 13 times the number I will give 10 pts

1
by melaniemaureen

• Brainly User
2015-10-01T08:49:31+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
If n is the number, the equation is:

n² + 12 = 13n

Transform to ax² + bx + c = 0 (Quadratic Equation)

n² - 13n + 12 = 0

Solve by factoring:
(n - 12) (n - 1) = 0

Solve for the roots (n):
n - 12 = 0               n - 1 =0
n = 12                   n = 1

The number (n) is: { 12, 1}

To check if n = 12:

(12)² + 12 = 13 (12)

144 + 12 = 256
256 = 256
Thanks Mom Gie
You have to practice the art of factoring so you can easily solve the quadratic equation. Use the determinant formula (b^2 - 4ac) to check if the equation can be factored. Or stick to quadratic formula, which can used to solve all quadratic equations.