SOLUTION: I am preparing to take an Alegra II class and I was doing some practice problems in the book when I came across: 2w squared = 13w + 7 I keep comig up with this problem having

Algebra ->  Rational-functions -> SOLUTION: I am preparing to take an Alegra II class and I was doing some practice problems in the book when I came across: 2w squared = 13w + 7 I keep comig up with this problem having      Log On


   

Question 24069: I am preparing to take an Alegra II class and I was doing some practice problems in the book when I came across:
2w squared = 13w + 7
I keep comig up with this problem having a non-solution.
Thank you for your help.
Loletha
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
2w%5E2+=+13w+%2B+7
Subtracting (13w+7) on both sides
2w%5E2+-13w-7+=+0
2x%28-7%29=-14
We have to now re-write -13w as 2 numbers that when added equal -13 but when multiplied equal -14
2w%5E2+%2B1w+-14w-7=0
w%282w%2B1%29+-7%282w%2B1%29=0
%282w%2B1%29%28w-7%29=0