SOLUTION: Compute the value of the discriminant and give the number of real solutions of the quadratic equation. 3x^2-7x+4=0

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Question 639979: Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
3x^2-7x+4=0
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 4 = 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=1 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.33333333333333, 1. Here's your graph:
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