SOLUTION: How do I find the solutions and x-intercepts of 3x^2-5x-7=0?

Question 455108: How do I find the solutions and x-intercepts of 3x^2-5x-7=0?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
y = 3x^2-5x-7
then, set y=0 to find the x-intercepts:
0 = 3x^2-5x-7
since you can't factor the right, apply the "quadratic formula" to get:
x = {2.57, -0.91}
.
x-intercepts are at:
(2.57,0) and (-0.91,0)
.
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=109 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.57338441815176, -0.906717751485092. Here's your graph:

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