Question

PLEASE HELP!! MEDAL!!
Solve equation by factoring.
7x^2 + 13x =2

Solve equation by completing the square.
r^2 - 6r - 80 = -8

Answer 1

rewrite the equation

\[7x^2 + 13x - 2 = 0\]

this can be factored, both 2 and 7 are prime so

(7x - 1)(x + 2) = 0

now you can solve for x

Answer 2

for the 2nd equation, rewrite it as

\[r^2 - 6r = 72\]

now add \[(\frac{-6}{2})^2\] to both sides of the equation and you get

\[r^2 - 6r + 9 = 81\]

now factor the left side and you will be able to solve for r