SOLUTION: 5x+6/5x=7/5+8/x

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Question 127510: 5x+6/5x=7/5+8/x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


5x%2B6%2F5x=7%2F5%2B8%2Fx....multiply both sides by 5x
5x%2A5x%2B%286%2F5x%295x+=+%287%2F5%295x+%2B+%288%2Fx%295x....
....
25x%5E2%2B+6+=+7x+%2B+8%2A5....
25x%5E2+-+7x+%2B+6+-40+=+0....
25x%5E2+-+7x++-34+=+0....
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2-4%2A25%2A%28-34%29+%29%29%2F%282%2A25%29+
x+=+%287+%2B-+sqrt%28+49+%2B+100%2A34+%29%29%2F50+
x+=+%287+%2B-+sqrt%28+49+%2B+3400+%29%29%2F50+
x+=+%287+%2B-+sqrt%28++3449+%29%29%2F50+
x+=+%287+%2B-+58.73%29%2F50+

x1+=+%287+%2B+58.73%29%2F50+
x1+=+%28+65.73%29%2F50+
x1+=+1.3146

x1+=+%287+-+58.73%29%2F50+
x1+=+%28+-51.73%29%2F50+
x1+=+-1.0346