SOLUTION: What are the x-intercepts? {{{y=x^2-3x-10}}}

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Question 131886: What are the x-intercepts?

y=x%5E2-3x-10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-3x-10=0 Start with the given equation

%28x-5%29%28x%2B2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
x-5=0 or x%2B2=0

x=5 or x=-2 Now solve for x in each case


So our answer is
x=5 or x=-2

which means that the x-intercepts are

x=5 and x=-2


Notice if we graph y=x%5E2-3x-10 we can see that the roots are x=5 and x=-2 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2-3x-10%29+