Use the quadratic formula to solve for x.

6x^2-4x=1

Round your answer to the nearest hundredth.

If there is more than one solution, separate them with commas.

x = 1/3 + sqrt (5/2) / 3 or x = 1/3 - sqrt (5/2) / 3

Step-by-step explanation:

Solve for x:

6 x^2 - 4 x = 1

Divide both sides by 6:

x^2 - (2 x) / 3 = 1/6

Add 1/9 to both sides:

x^2 - (2 x) / 3 + 1/9 = 5/18

Write the left hand side as a square:

(x - 1/3) ^2 = 5/18

Take the square root of both sides:

x - 1/3 = sqrt (5/2) / 3 or x - 1/3 = - sqrt (5/2) / 3

Add 1/3 to both sides:

x = 1/3 + sqrt (5/2) / 3 or x - 1/3 = - sqrt (5/2) / 3

Add 1/3 to both sides:

Answer: x = 1/3 + sqrt (5/2) / 3 or x = 1/3 - sqrt (5/2) / 3