SOLUTION: How do I find the x-intercepts for the graph of this equation? y=x^2+3x-4

Question 295750: How do I find the x-intercepts for the graph of this equation?
y=x^2+3x-4
Found 2 solutions by Alan3354, JBarnum:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do I find the x-intercepts for the graph of this equation?
y=x^2+3x-4
----------------
At any x-intercept, y = 0.

I would factor it, that's the simplest way.

Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
its a quadratic equation set y=0 and solve for x.
find 2 numbers that multiply to get -4 and add to get +3
-1 and +4
so
these are the 2 intercepts
if you cant remember this method then use the quadratic method like the solver below

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=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1, -4. Here's your graph:

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