document.write( "Question 166391: Graph the system of equations y=x^4-3x³ and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!! \n" ); document.write( "
Algebra.Com's Answer #134033 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
y=x^4-3x³ and y=2x-6\r
\n" ); document.write( "\n" ); document.write( "Replace the y in the first equation by 2x-6\r
\n" ); document.write( "\n" ); document.write( "2x-6=x4-3x3
\n" ); document.write( "x4-3x3-2x+6=0
\n" ); document.write( "(x4-3x3)-(2x-6)=0
\n" ); document.write( "x3(x-3)-2(x-3)=0
\n" ); document.write( "(x3-2)(x-3)
\n" ); document.write( "Let x-3=0, then x=3
\n" ); document.write( "Let x3-2=0, then x=cube root of 2>>get calculator... i lost mine\r
\n" ); document.write( "\n" ); document.write( "Now, we have the x-coordinates of the two intersections. To find the corresponding y-coordinates, use y=2x-6.\r
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "if x=3, y=2(3)-6=6-6=0
\n" ); document.write( "if x=2*(cube root of 2)-6>>please! calculator again....\r
\n" ); document.write( "\n" ); document.write( "So the points of intersections are (3,0) and (cube root of 2, 2*(cube root of 2)-6)\r
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!\r
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