Question

NEED ANSWERED ASAP. WILL GIVE 20 POINTS AND MARK BRAINLIEST. Solve this rational expression: 5Cfrac%7B1%7D%7Bx%7D" id="TexFormula1" title="\frac{1}{x}" alt="\frac{1}{x}" align="absmiddle" class="latex-formula"> = $\frac{x}{6}$ - $\frac{5}{60}$

Answer 1

Answer:

     x = (1 ±√97)/4 ≈ {-2.21221, 2.71221}

Step-by-step explanation:

Multiply the equation by 12x to clear fractions.

  12 = 2x^2 -x

  6 = x^2 -1/2x . . . . . . divide by 2

  6 +1/16 = x^2 -1/2x +1/16 = (x -1/4)^2 . . . . . add 1/16 to complete the square

  ±√(97/16) +1/4 = x . . . . . . square root and add 1/4

  x = (1 ±√97)/4

  x ≈ -2.21221, 2.71221