document.write( "Question 668118: x4 − 7x2 − 144 = 0 find all real solutions algebraically \n" ); document.write( "

Algebra.Com's Answer #415640 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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x^4 − 7x^2 − 144 = 0
\n" ); document.write( "use the quadratic formula
\n" ); document.write( " $\"x%5E2+=+%28-%28-7%29+%2B-+sqrt%28-7%5E2-4%2A1%2A-144+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E2+=+%287+%2B-+sqrt%2849%2B576+%29%29%2F2+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E2+=+%287+%2B-+sqrt%28625+%29%29%2F2%29+\"$
\n" ); document.write( "two solutions
\n" ); document.write( " $\"x%5E2+=+%287+%2B+25%29%2F2+\"$
\n" ); document.write( "x^2 = $\"32%2F2\"$
\n" ); document.write( "x^2 = 16
\n" ); document.write( "x = +4, -4
\n" ); document.write( "and
\n" ); document.write( " $\"x%5E2+=+%287+-+25%29%2F2+\"$
\n" ); document.write( "x^2 = $\"-18%2F2\"$
\n" ); document.write( "Non-real solutions
\n" ); document.write( ":
\n" ); document.write( "Real solutions: x=4, x=-4 \n" ); document.write( "

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