What are the x-intercepts of #x²-y+2x=6 #?
The x-intercepts are at
We first isolate y.
We now try to find the zeros. Since we cannot factor this equation in any quick way, we find the two zeros using the quadratic formula
The zeros are:
Note that we know that(and it will, if you are correct) when we plug in the zeros, we get zero for the equation.
*Here is the idea of how the zeros are the answer. Since the y value is 0, we know that the point must lie on the x coordinate, which means those points are the x intercepts.