document.write( "Question 779775: Find the points of intersection of the following pair of curves. y=4x^2+66x+283, y=-2x-5 \n" ); document.write( "
Algebra.Com's Answer #475357 by Cromlix(4381)\"\" \"About 
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y=4x^2+66x+283, is a curve
\n" ); document.write( "y=-2x-5 is a line.
\n" ); document.write( "Points of intersection occur when
\n" ); document.write( " 4x^2+66x+283 = -2x-5
\n" ); document.write( "Collect terms
\n" ); document.write( "4x^2 + 68x + 288 = 0
\n" ); document.write( "Divide through by 4
\n" ); document.write( "x^2 + 17x + 72 = 0
\n" ); document.write( "(x + 8)(x + 9) = 0
\n" ); document.write( "x = -8
\n" ); document.write( "x = -9
\n" ); document.write( "Substitute x = -8
\n" ); document.write( "into y = - 2x - 5
\n" ); document.write( " y = -2(-8) - 5
\n" ); document.write( " y = 16 - 5
\n" ); document.write( " y = 11
\n" ); document.write( "Substitute x = -9
\n" ); document.write( "into y = - 2x - 5
\n" ); document.write( " y = - 2(-9) - 5
\n" ); document.write( " y = + 18 - 5
\n" ); document.write( " y = 13
\n" ); document.write( "Points of intersection are:
\n" ); document.write( "(-8, 11) and (-9, 13)
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
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