SOLUTION: Please Find the exact solutions to 3x^2 = 5x

SOLUTION: Please Find the exact solutions to 3x^2 = 5x - 1 by using the quadratic formula.

Question 294310: Please Find the exact solutions to 3x^2 = 5x - 1 by using the quadratic formula.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
3x^2 - 5x +1=0

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=13 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.43425854591066, 0.232408120756002. Here's your graph:

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