SOLUTION: Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y = bx - ab.

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Question 1134764: Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y = bx - ab.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
To find x-coordinates of intersection points, solve the equation


x%5E2+-+ax = bx+-+ab,


which is equivalent to


x%5E2+-+%28a%2Bb%29+%2B+ab = 0.


Without solving equation, the roots are x= a  and  x= b (based on the Vieta's theorem).


Having x-coordinates, you can easily calculate their y-coordinates, using the second of the two given equations.

Solved.

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