SOLUTION: Find the X intercepts, and y intercepts. -x^2+5x+36 I know that I have to factor 36, to get my x intercepts, so I came up with (-6,0),(6,0) But my assignment tells m

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Question 266634: Find the X intercepts, and y intercepts.
-x^2+5x+36
I know that I have to factor 36, to get my x intercepts, so I came up with
(-6,0),(6,0)
But my assignment tells me this is wrong.
I believe that the y intercept would be
(0,36), is this correct?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
To find the x-intercept(s), you need to set the expression equal to zero and solve for 'x'


Set the expression equal to zero.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "x":


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the solutions are or


So this means that the x-intercepts are (-4,0) and (9,0)


For the y-intercept, you are correct. The y-intercept is (0,36)

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