SOLUTION: A. Is the following binomial a difference of squares? 9a^2 – 8b^2 B. If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the numb

Algebra ->  Rational-functions -> SOLUTION: A. Is the following binomial a difference of squares? 9a^2 – 8b^2 B. If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the numb      Log On


   

Question 85785: A. Is the following binomial a difference of squares?
9a^2 – 8b^2

B. If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A. Is the following binomial a difference of squares?
9a^2 – 8b^2
No; The coefficient of b^2, (8) is not a perfect square
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:
B. If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number
:
Let x = the number, then just write what it says:
:
"If one-half a number is subtracted from five-sixths of the number, the difference is 6."
%285%2F6%29x - %281%2F2%29x = 6
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Get rid of the denominator, mult equation by 6
%286%29%285%2F6%29x - %286%29%281%2F2%29x = (6)6
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leave you with:
5x - 3(1x) = 36
5x - 3x = 36
2x = 36
x = 36/2
x = 18
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Check solution of x = 18:
%285%2F6%2918 - %281%2F2%2918 = 6
15 - 9 = 6