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Sergio [31]
3 years ago
6

How many x-intercepts does the graph of the given equation have?

Mathematics
2 answers:
Keith_Richards [23]3 years ago
4 0
The discriminant is b^2 - 4ac.
Find x-intercepts by setting y = 0 and solving for x.
With <span>0 = -4x^2 + 4x - 1, this implies that a = -4, b = 4, and c = -1.
               discriminant = 4^2 - 4(-4)(-1)
                                      </span><span>= 16 - 16
                                      = 0
The </span>discriminant of 0 means there is only one real solution to <span>0 = -4x^2 + 4x - 1.
So there is only one x-intercept.

Your answer is one x-intercept.
</span>
taurus [48]3 years ago
3 0
Use the formula x=b^2-4ac
a= -4 , b= 4 , c= -1
Plug in into your formula
(4)^2-4(-4*-1)
16-16
x=0
so the solution only has one x-intercept
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