document.write( "Question 873239: The equation of the parabloa C is y = -2x^2 + 5x.The equation of the line l is y - 4x + 1 = 0.
\n" ); document.write( "Find the coordinates of the points of intersection of C and l algebraically. \n" ); document.write( "

Algebra.Com's Answer #526712 by Fombitz(32388) $\"\"$ $\"About$

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$\"y+=+-2x%5E2+%2B+5x\"$
\n" ); document.write( " $\"y=+4x+-+1\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"-2x%5E2+%2B+5x=4x+-+1\"$
\n" ); document.write( " $\"2x%5E2-x-1=0\"$
\n" ); document.write( " $\"%28x-1%29%282x%2B1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y=4%281%29-1=3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2x%2B1=0\"$
\n" ); document.write( " $\"2x=-1\"$
\n" ); document.write( " $\"x=-1%2F2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y=4%28-1%2F2%29-1=-2-1=-3\"$
\n" ); document.write( "(1,3) and (-1/2,-3)
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