SOLUTION: A - What are the coordinates of the points at which the parabola whose equation is y=ax^2+b+c intersects the x axis

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Question 676372: A - What are the coordinates of the points at which the parabola whose equation is y=ax^2+b+c intersects the x axis

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The intersections with the x-axis are called the roots
Note that +y+=+0+ where the x-intersections are
If I call the 2 roots:
+x+=+r%5B1%5D+
+x+=+r%5B2%5D+
+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+
+a%2Ax%5E2+%2B+b%2Ax+%2B+c+=+0+
Using the quadratic formula:
1st point:
x+=+%28-b+%2B+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+y+=+0+
---------
2nd point:
x+=+%28-b+-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+y+=+0+