SOLUTION: If ,l+b=24,lb=135, find the values of l and b

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Question 982110: If ,l+b=24,lb=135, find the values of l and b
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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l=L; b=B (for clarity)
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L%2BB=24
L=24-B
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LB=135
%2824-B%29%28B%29=135
24B-B%5E2=135
-B%5E2%2B24B-135=0
-1%28B-9%29%28B-15%29=0
B-9=0 OR B-15=0
B=9 OR B=15
When B=9, L=24-B=24-9=15
When B=15, L=24-B=24-15=9
ANSWERS: (L,B)=(9,15) or (15,9)