## 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 sol

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

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