Solve the quadratic by factoring, completing the square, or using the quadratic formula. [[12x^2-13x+3=0]]

x = 1/3 or x = 3/4

Step-by-step explanation:

Solve for x:

12 x^2 - 13 x + 3 = 0

The left hand side factors into a product with two terms:

(3 x - 1) (4 x - 3) = 0

Split into two equations:

3 x - 1 = 0 or 4 x - 3 = 0

Add 1 to both sides:

3 x = 1 or 4 x - 3 = 0

Divide both sides by 3:

x = 1/3 or 4 x - 3 = 0

Add 3 to both sides:

x = 1/3 or 4 x = 3

Divide both sides by 4:

Answer: x = 1/3 or x = 3/4