SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 15x^2 - 20x - 9 A) ((20 (+or-) sqrt 940)/(2)) , (0, -9) B) ((20 (+or-) sqrt 940)/(2)) , (0, 9) C)

Question 201679: Find the x- and y-intercepts. If no x-intercepts exist, state so.
f(x) = 15x^2 - 20x - 9
A) ((20 (+or-) sqrt 940)/(2)) , (0, -9)
B) ((20 (+or-) sqrt 940)/(2)) , (0, 9)
C) No x-intercepts, (0, -9)
D) No x-intercepts, (0, 9)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the x- and y-intercepts. If no x-intercepts exist, state so.
f(x) = 15x^2 - 20x - 9
A) ((20 (+or-) sqrt 940)/(2)) , (0, -9)
B) ((20 (+or-) sqrt 940)/(2)) , (0, 9)
C) No x-intercepts, (0, -9)
D) No x-intercepts, (0, 9)
--------------------------
To find the y-intercept, set x=0. --> y = -9, so it's (0,-9)
The answer is B or D.
-------------------
For the x-intercepts:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=940 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.68864731445039, -0.355313981117059. Here's your graph:

(20 +/-sqrt(940))/30
= (10 +/-sqrt(235))/15
None of the above.

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