Question 1134764
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To find x-coordinates of intersection points, solve the equation


{{{x^2 - ax}}} = {{{bx - ab}}},


which is equivalent to


{{{x^2 - (a+b) + 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.
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Solved.


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