document.write( "Question 189610: Can you please help me solve this? I have to solve for all roots. $\"x%5E4-5x%5E2-24=0\"$ \n" ); document.write( "

Algebra.Com's Answer #142282 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E4-5x%5E2-24=0\"$
\n" ); document.write( "Notice that x^4 = (x^2)^2
\n" ); document.write( ".
\n" ); document.write( " $\"%28x%5E2-8%29%28x%5E2%2B3%29=0\"$
\n" ); document.write( ".
\n" ); document.write( "Setting each expression in parentheses equal to zero and solve for x:
\n" ); document.write( "(x^2-8)=0
\n" ); document.write( "x^2 = 8
\n" ); document.write( "x = +- sqrt(8)
\n" ); document.write( "x = +- 2sqrt(2)
\n" ); document.write( ".
\n" ); document.write( "(x^2+3)=0
\n" ); document.write( "x^2 = -3
\n" ); document.write( "x = +- sqrt(-3)
\n" ); document.write( "x = +- sqrt(3)i
\n" ); document.write( " \n" ); document.write( "

\n" );