SOLUTION: solve the equation. 6+(10/x)=x+9

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: solve the equation. 6+(10/x)=x+9      Log On


   

Question 668072: solve the equation.
6+(10/x)=x+9
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the entire equation by x
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6x+%2B+cross%28x%29%2810%2Fcross%28x%29%29+=+x%28x%29+%2B+9x
6x+%2B+10+=+x%5E2+%2B+9x
...
Combine terms to make quadratic.
0+=+x%5E2+%2B+9x+-+6x+-+10
x%5E2+%2B+3x+-+10+=+0
(x-2)(x+5) = 0
x-2 = 0, so highlight_green%28x+=+2%29
x+5 = 0, so highlight_green%28x+=+-5%29
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Solutions
-5 and 2
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