NEED ANSWERED ASAP. WILL GIVE 20 POINTS AND MARK BRAINLIEST. Solve this rational expression: [tex]\frac{1}{x}[/tex] = [tex]\frac{x}{6}[/tex] - [tex]\frac{5}{60}[/tex]

Respuesta :

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

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