Question

please help....explain in steps

Solve by factoring.
4x2 - 8x + 3 = 0

A: x = 1.5 or x = 0.5
B: x = -1.5 or x = -0.5
C: x = 1.5 or x = -0.5
D: x = -2 or x = 1.5

Answer 1

4x^2 - 8x + 3 = 0
(2x - 1)(2x - 3) = 0

2x - 1 = 0
x = 1/2
or
.5


Do you see how I got this?

Answer 2

how did you get (2x-1)(2x-3)

Answer 3

\[4x ^{2}-8x+3=0\]

Answer 4

Thats the equation right?

Answer 5

yes

Answer 6

Okay, you have to factor.

What are two numbers you can get to make \[4x ^{2}?\]

Answer 7

i honestly dont now :(

Answer 8

Okay, that's fine.

2x times 2x equals what?

Answer 9

4x^2

Answer 10

Great job!

Now we need to find what multiply to 3, but add up to -8.

(2x^2-?)(2x^2-?)

We know that the two numbers need to be negative because of that -8.

Answer 11

these numbers would work because we factor out the numbers.