SOLUTION: Solve for x. [(1/(2x)]^2 + [(2/(3x)]^2 = 47x

Algebra ->  Pythagorean-theorem -> SOLUTION: Solve for x. [(1/(2x)]^2 + [(2/(3x)]^2 = 47x      Log On


   

Question 1208815: Solve for x.

[(1/(2x)]^2 + [(2/(3x)]^2 = 47x
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve for x: [(1/(2x)]^2 + [(2/(3x)]^2 = 47x.
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This equation is equivalent to

    1%2F%284x%5E2%29 + 4%2F%289x%5E2%29 = 47x.


Write with the common denominator on the left side

    9%2F%2836x%5E2%29 + 16%2F%2836x%5E2%29 = 47x

    %289%2B16%29%2F%2836x%5E2%29 = 47x,

    25%2F%2836x%5E2%29 = 47x,

    x^3 = 25%2F%2836%2A47%29,

    x = root%283%2C+25%2F1692%29 = 0.245384174  (rounded).    ANSWER

Solved.