document.write( "Question 30330: Quesion : Solve for y: y^4-4y^2=40y-10y^3\r
\n" ); document.write( "\n" ); document.write( "y= or y= or y= or y= \r
\n" ); document.write( "\n" ); document.write( "Possible Answers:
\n" ); document.write( "(a) 0, 10, 2, -2
\n" ); document.write( "(b) 0, -10, -2, 4
\n" ); document.write( "(c) 0, -10, 2, -2
\n" ); document.write( "(d) 0, 10, -2, -4
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #17228 by Fermat(136)\"\" \"About 
You can put this solution on YOUR website!
y^4-4y^2=40y-10y^3
\n" ); document.write( "rearrange,
\n" ); document.write( "y^4 + 10y^3 = 4y^2 + 40y
\n" ); document.write( "take out y^3 and y to get (y+10) as a factor
\n" ); document.write( "y^3(y + 10) = y(4y + 40)
\n" ); document.write( "y^3(y + 10) - 4y(y + 10)
\n" ); document.write( "take out (y+10) as a common factor,
\n" ); document.write( "(y+10)(y^3 - 4y) = 0
\n" ); document.write( "(y+10)y(y² - 4) = 0
\n" ); document.write( "y = -10, 0, or y = +/- 2
\n" ); document.write( "y = -10, -2, 0, 2
\n" ); document.write( "==================
\n" ); document.write( "Ans: (c)
\n" ); document.write( "========
\n" ); document.write( "
\n" );