document.write( "Question 1134764: Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y = bx - ab. \n" ); document.write( "

Algebra.Com's Answer #752242 by ikleyn(52784) $\"\"$ $\"About$

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document.write( "To find x-coordinates of intersection points, solve the equation\r\n" );
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document.write( " = ,\r\n" );
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document.write( "which is equivalent to\r\n" );
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document.write( " = 0.\r\n" );
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document.write( "Without solving equation, the roots are x= a  and  x= b (based on the Vieta's theorem).\r\n" );
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document.write( "Having x-coordinates, you can easily calculate their y-coordinates, using the second of the two given equations.\r\n" );
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