how do i solve this x^2=(13)/(2x)-10

Question

how do i solve this

Comments

your equation is convuluted.  put the parenthesis in the right places.

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is it 13             or 13
      ---------         ----  - 10
      ( 2x - 10)       2x

Answer 1

I will solve both:

first example:

x^2 = 13/(2x - 10) multiply both sides by (2x - 10) to get rid of the denominator

x^2 (2x - 10) = 13

x^2 (2x - 10) - 13 = 0

2x^3 - 10x^2 -13 = 0  I do not see an easy way to factor this...

Second example:

x^2 = 13/2x - 10   multiply both sides by 2x

2x^3 = 13 -20x

2x^3 + 20x - 13 = 0