SOLUTION: solve the quadratic equation by using the quadratic formula. 2xsquared + 4x = 1 Thank you so much.

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Question 17145: solve the quadratic equation by using the quadratic formula.
2xsquared + 4x = 1
Thank you so much.
Found 2 solutions by xcentaur, Alwayscheerful:
Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!


x=[-4 +- sqrt(16 - 4*2*-1)]/2(2)


x=[-4 +- sqrt(16+8)]/4


x=(-4/4) +- (sqrt(24)/4)


x=-1 +- 2sqrt(6)/4


x=-1 +- sqrt(6)/2


-Prabhat
Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
You want to move the 1 over to the left side so the equation is quadratic.

Solved by pluggable solver: SOLVE quadratic equation with variable
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=24 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.224744871391589, -2.22474487139159. Here's your graph:

Hope this helps!
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