Question

17/16x+x/16=6x+1/8+15/16x

Please help solve equation

Answer 1

Is this equation correct? \[\frac{17}{16x}+\frac{x}{16}=\frac{6x+1}{8}+\frac{15}{16x}\]

Answer 2

multiply every term by \[ 16x \]

this will eliminate the denominator
and give

\[17 + x^2 = 2x (6x +1) + 15\]

simplify

\[ 17 + x^2 = 12x^2 + 2x + 15\]

or

\[11x^2 + 2x -2 = 0\]

use the general quadratic formula to solve

\[x = \frac{ -2 \pm \sqrt{92}}{22}\]