SOLUTION: Solve by factoring and using the principle of zero products. (x-2)(x-7) = -6

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve by factoring and using the principle of zero products. (x-2)(x-7) = -6       Log On


   



Question 282997: Solve by factoring and using the principle of zero products.
(x-2)(x-7) = -6

Answer by DeChella(1) About Me  (Show Source):
You can put this solution on YOUR website!
after factoring it you get
x%5E2-9x%2B14=-6
add 6 to both sides
x%5E2-9x%2B20=0
use the quadratic formula to solve
-b%2B-sqrt%28+b%5E2-4ac+%29%2F2a
9%2B-sqrt%289%5E2-4%281%2A20%29%29
9%2B-sqrt%2881-80%29+
9%2B-sqrt%281%29
(9+or-1)/2
x=5 or 4