document.write( "Question 1199217: Solve for x.\r
\n" ); document.write( "\n" ); document.write( "x^4 - 5x^2 -12 = 0\r
\n" ); document.write( "\n" ); document.write( "I can write x^4 like this: (x^2)^2.\r
\n" ); document.write( "\n" ); document.write( "Let u = x^2.\r
\n" ); document.write( "\n" ); document.write( "u^2 - 5u - 12 = 0\r
\n" ); document.write( "\n" ); document.write( "After using the quadratic formula, I got the following:\r
\n" ); document.write( "\n" ); document.write( "u = (5 + sqrt{73})/2 and (5 - sqrt{73})/2.\r
\n" ); document.write( "\n" ); document.write( "I back-substituted for u.\r
\n" ); document.write( "\n" ); document.write( "x^2 = (5 + sqrt{73})/2 and x^2 = (5 - sqrt{73})/2.\r
\n" ); document.write( "\n" ); document.write( "Taking the square root on both sides, I got:\r
\n" ); document.write( "\n" ); document.write( "x = [(5 + sqrt{73}/2)]^(1/2)\r
\n" ); document.write( "\n" ); document.write( "x = [(5 - sqrt{73}/2)]^(1/2)\r
\n" ); document.write( "\n" ); document.write( "The textbook Answer for x are -2, -1, 1, 2.\r
\n" ); document.write( "\n" ); document.write( "Why is my answer wrong? \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #832976 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The work you did is fine. But if the textbook answers are -2, -1, 1, and 2, then your original polynomial is not right.

\n" ); document.write( "\"%28x%2B2%29%28x-2%29%28x%2B1%29%28x-1%29=%28x%5E2-1%29%28x%5E2-4%29=x%5E4-5x%5E2%2B4\"

\n" ); document.write( "It looks as if you started with the wrong polynomial.

\n" ); document.write( "
\n" ); document.write( "
\n" );