SOLUTION: 2x/5-3/10=1/x

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Question 627309: 2x/5-3/10=1/x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 

Hi,

2x%2F5-3%2F10=1%2Fx    |Multiplying thru by 10x so as all denominators = 1

   4x^2 - 3x = 10

   4x^2 - 3x+10 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%283+%2B-+sqrt%28+169+%29%29%2F%288%29+

x+=+%283+%2B-+13%29%2F%288%29+

     x = 2 or x = -10/8 = -5/4