SOLUTION: a rectangular computer graphics card must have an area of 110 square centimeters in order to hold all of its electronic parts. The card is 17 centimeters longer than its wide. The

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Question 991247: a rectangular computer graphics card must have an area of 110 square centimeters in order to hold all of its electronic parts. The card is 17 centimeters longer than its wide. The area of the card is given by its equation w(w+17)=110
Width-?
Length-?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

w%28w%2B17%29=110

w%5E2%2B17w=110

w%5E2%2B17w-110=0
w%5E2-5w%2B22w-110=0
%28w%5E2-5w%29%2B%2822w-110%29=0
w%28w-5%29%2B22%28w-5%29=0
%28w-5%29%28w%2B22%29+=+0
solutions:
if %28w-5%29+=+0=>w=5
if %28w%2B22%29+=+0=>w=-22=> disregard negative solution because we are looking for width
so, our solution for width is highlight%28w=5%29
now find the length: w%2B17=5%2B17=>highlight%28w%2B17=22%29