document.write( "Question 753835: I would like to know the intersection points of a parabola and line when:\r
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document.write( "y=x^2+x-3\r
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document.write( "y=x-1\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #458633 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Make the equations equal one another. \n" ); document.write( "x^2 + x - 3 = x - 1 \n" ); document.write( "Combine the two equations \n" ); document.write( "x^2 + x - x - 3 + 1 = 0 \n" ); document.write( "x^2 - 2 = 0 \n" ); document.write( " x^2 = 2 \n" ); document.write( " x = square root of two\r \n" ); document.write( "\n" ); document.write( "Therefore the intersections with the \n" ); document.write( "line is -square root 2 and + square root 2 \n" ); document.write( "Put these two values into line equation \n" ); document.write( "y = x - 1 \n" ); document.write( "The y coords: -> (- square root 2 -1 = -2.41) \n" ); document.write( "(+ square root 2 - 1 = 0.41)\r \n" ); document.write( "\n" ); document.write( "(- square root 2, -2,41) (+ square root 2, 0.41) \n" ); document.write( " |