document.write( "Question 937515: Differentiation section of book.
\n" ); document.write( "Find the coordinates of the stationary points on the graphs of the following function.\r
\n" ); document.write( "\n" ); document.write( "3x^5-20x^3+1 \r
\n" ); document.write( "\n" ); document.write( "I tried but failed. So far I differentiated and got:
\n" ); document.write( "0=15x^4-60x^2+1
\n" ); document.write( "then I am not sure what to do. I tried to sub y=x^2:
\n" ); document.write( "0=15y-60y+1 but I can't factor this. \r
\n" ); document.write( "\n" ); document.write( "The answer given is (-2,65) (0,1) and (2,-63).\r
\n" ); document.write( "\n" ); document.write( "Please could someone help me?\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #570880 by Alan3354(69443)\"\" \"About 
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Find the coordinates of the stationary points on the graphs of the following function.\r
\n" ); document.write( "\n" ); document.write( "3x^5-20x^3+1 \r
\n" ); document.write( "\n" ); document.write( "I tried but failed. So far I differentiated and got:
\n" ); document.write( "0=15x^4-60x^2+1 ************ No 1
\n" ); document.write( "=====================
\n" ); document.write( "0=15x^4-60x^2
\n" ); document.write( "x^4 - 4x^2 = 0
\n" ); document.write( "x = 0, 0, 2, -2
\n" ); document.write( "Matches the answers.\r
\n" ); document.write( "\n" ); document.write( "then I am not sure what to do. I tried to sub y=x^2:
\n" ); document.write( "0=15y-60y+1 but I can't factor this. \r
\n" ); document.write( "\n" ); document.write( "The answer given is (-2,65) (0,1) and (2,-63).
\n" ); document.write( "
\n" ); document.write( "
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