document.write( "Question 262245: How would I find the points at which the parabola formed y=x^2 and the line formed by y=2x+3 intersect? \n" ); document.write( "
Algebra.Com's Answer #193222 by nerdybill(7384)\"\" \"About 
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How would I find the points at which the parabola formed y=x^2 and the line formed by y=2x+3 intersect?
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\n" ); document.write( "Set them equal to each other and solve for x:
\n" ); document.write( "x^2 = 2x + 3
\n" ); document.write( "x^2 -2x = 3
\n" ); document.write( "x^2 -2x -3 = 0
\n" ); document.write( "(x-3)(x+1) = 0
\n" ); document.write( "x = {3,-1}
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\n" ); document.write( "To find the corresponding y, plug into either of the two equations and solve for y:
\n" ); document.write( "when x=3
\n" ); document.write( "y=x^2=3^2 = 9
\n" ); document.write( "y=x^2=(-1)^2 = 1
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\n" ); document.write( "Therefore, the points are
\n" ); document.write( "(3, 9)
\n" ); document.write( "and
\n" ); document.write( "(-1, 1) \n" ); document.write( "
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