SOLUTION: 0.6x^2=1.2x+0.6

Question 436577: 0.6x^2=1.2x+0.6
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
0.6x^2=1.2x+0.6
multiply by 10 to rid ourselves of decimal points:
6x^2=12x+6
divide both sides by 6:
x^2=2x+1
move everything to the left:
x^2-2x-1=0
can't factor so apply the quadratic formula to get:
x = {2.41, -0.41}
.
details of quadratic follows:

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=8 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.41421356237309, -0.414213562373095. Here's your graph:

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