Solve for x (x-3)(x-4)=34/33^2
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Answer: 100/33 or 65/33
Step-by-step explanation:
(x−2)(x−3) = 34/33^2
⇒(33x−66) (33x−99) = 34
being hopeful that (33x−66) and (33x−99) are integers , at this point, I note that this equation is basically a factorization of 34 such that a. b=34 and a−b=33
Naturally, the factors are 34 and 1 or (-1) and (-34).
There are two options :
Case I :
a=34 and b=1
⇒ x=100/33
Case II :
a=−1 and b=−34
⇒x=65/33
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