Question 81529: x+( 8/x )=6
Answer by doctor_who(15)   (Show Source):
You can put this solution on YOUR website! That x on the bottom is making it look a bit messy. Let's rearrange things a bit to get rid of it.
Do that by multiplying everything on both sides of the equation by x.
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We get : x^2 + 8 = 6x (where x^2 is my notation for x squared)
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Move that 6x around to the other side and you've got a quadratic equation in the "traditional" looking way :
x^2 - 6x + 8 = 0
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You can either solve this using the formula for solving quadratics, or, if you're lucky enough, you can notice that you can factorise the left hand side in the following way :
(x-2)(x-4) = 0
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In order for that to be true, either one of what's inside each set of brackets must be zero. So there are two viable solutions, namely x=2 or x=4 (ANSWER)
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