SOLUTION: {{{ 7/(X^2) - 8/X - 2 = 0 }}} What is the solution set to this equation, and what are the steps you use to solve it? Thanks in advance.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: {{{ 7/(X^2) - 8/X - 2 = 0 }}} What is the solution set to this equation, and what are the steps you use to solve it? Thanks in advance.      Log On


   

Question 1147079: +7%2F%28X%5E2%29+-+8%2FX+-+2+=+0+ What is the solution set to this equation, and what are the steps you use to solve it? Thanks in advance.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
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Multiply both sides by x^2.  You will get then the EQUIVALENT equation


    2x^2 + 8x - 7 = 0.


Apply the quadratic formula


    x%5B1%2C2%5D = %28-8+%2B-+sqrt%288%5E2+-+4%2A2%2A%28-7%29%29%29%2F%282%2A2%29 = %28-8+%2B-+sqrt%28120%29%29%2F4 = %28-8+%2B-+sqrt%284%2A30%29%29%2F4 = %28-8+%2B-+2%2Asqrt%2830%29%29%2F4 = %28-4+%2B-+sqrt%2830%29%29%2F2.


Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
7%2Fx%5E2-%288%2Fx%29%28x%2Fx%29-2%28x%5E2%2Fx%5E2%29=0

7%2Fx%5E2-8x%2Fx%5E2-2x%5E2%2Fx%5E2=0

7-8x-2x%5E2=0, because need the numerator to be 0

2x%5E2%2B8x-7=0
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