SOLUTION: What is the value of x is this equation 2x(2x-1) = 4

Question 754217: What is the value of x is this equation 2x(2x-1) = 4
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What is the value of x is this equation 2x(2x-1) = 4
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2x(2x-1) = 4
x(2x-1) = 2

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=17 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.28077640640442, -0.780776406404415. Here's your graph:

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
What is the value of x is this equation 2x(2x-1) = 4
2x(2x-1) = 4
4x^2 -2x = 4
divide both sides of = by 2
2x^2 -x = 2
2x^2 -x -2 = 0
now use quadratic formula
1 plus or minus sqrt(1 - 4*(2)*(-2)) / 2*2
1 plus or minus sqrt(1+16) / 4
1 plus or minus sqrt(17) / 4
x = (1 + sqrt(17)) / 4 = 1.28
x = (1 - sqrt(17)) / 4 = -.78

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