3x/x^ 2 - 6x = 1. Solve for x.

Step-by-step explanation:

3x/x^ 2 - 6x = 1

3/x - 6x = 1

Multiply each term by x

3 - 6x² = x

6x² + x - 3 = 0

Using quadratic formula

X = [-b ± √ (b² - 4ac) ]/2a

a = 6, b = 1 and c = - 3

X = [-1 ± √ (1² - 4 (6*-3) ] / (2*6)

X = [-1 ± √ (1 + 72) ]/12

X = [-1 ± √73]/12

X = [-1 ± 8.54]/12

X = (-1 + 8.54) / 12 or (-1 - 8.54) / 12

X = 7.54/12 or - 9.54/12

X = 0.63 or - 0.8