SOLUTION: Find the x-intercept. y=x^2+x-6

Algebra ->  Systems-of-equations -> SOLUTION: Find the x-intercept. y=x^2+x-6      Log On


   

Question 125188: Find the x-intercept. y=x^2+x-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

To find the x-intercepts, let y=0 and solve for x

x%5E2%2Bx-6=0

%28x%2B3%29%28x-2%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%2B3=0 or x-2=0

x=-3 or x=2 Now solve for x in each case


So our answer is
x=-3 or x=2


Notice if we graph y=x%5E2%2Bx-6 we can see that the x-intercepts are x=-3 and x=2 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2%2Bx-6%29+