SOLUTION: solve the inequality 50x-75<50/x

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Question 585197: solve the inequality 50x-75<50/x
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
50x-75%3C50%2Fx multiply both sides by x so we wouldn't have to deal with fractions
50x%5E2-75x%3C50
50x%5E2-75x-50%3C0 factor 25
25%282x%5E2-3x-2%29%3C0 use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%283+%2B-+sqrt%28+9%2B16+%29%29%2F%284%29+
x+=+%283+%2B-+sqrt%28+25+%29%29%2F%284%29+
x+=+%283+%2B-+5%29%2F%284%29+
x+=+%283+%2B+5%29%2F%284%29+
x+=+%288%29%2F%284%29=2+ OR
x+=+%283+-+5%29%2F%284%29+
x+=+%28-2%29%2F%284%29=-1%2F2+