document.write( "Question 753835: I would like to know the intersection points of a parabola and line when:\r
\n" ); document.write( "\n" ); document.write( "y=x^2+x-3\r
\n" ); document.write( "\n" ); document.write( "y=x-1\r
\n" ); document.write( "\n" ); document.write( "Thank you.
\n" ); document.write( "

Algebra.Com's Answer #458633 by Cromlix(4381)\"\" \"About 
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( "
\n" );