SOLUTION: Find the x intercepts of f(x) = 3x^2 -15x -13

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Question 392412: Find the x intercepts of
f(x) = 3x^2 -15x -13

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
f(x) = 3x^2 -15x -13
set f(x) to zero and solve for x:
0 = 3x^2 -15x -13
applying the "quadratic formula" we get:
x = {5.753, -0.753}
.
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=381 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.75320354932386, -0.753203549323856. Here's your graph:

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