Find the solutions to the equation below check all that apply 4x^2-8x+3=0 a. x=3/2 b. x=2 c. x=3 d. x=1/2 e. x=-1/2 f. x=-2

A. x=3/2

D. x=1/2

Solve for x over the real numbers:

4 x^2 - 8 x + 3 = 0

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

(2 x - 3) (2 x - 1) = 0

Split into two equations:

2 x - 3 = 0 or 2 x - 1 = 0

Add 3 to both sides:

2 x = 3 or 2 x - 1 = 0

Divide both sides by 2:

x = 3/2 or 2 x - 1 = 0

Add 1 to both sides:

x = 3/2 or 2 x = 1

Divide both sides by 2:

 x = 3/2 or x = 1/2

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