document.write( "Question 863593: (4x^4/3)+(7x^2/3)=2 solve the equation (hint-quadratic in form) \n" ); document.write( "

Algebra.Com's Answer #520482 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
Choose some variable, and for example, u;
\n" ); document.write( " $\"u=x%5E%282%2F3%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"4u%5E2%2B7u=2\"$
\n" ); document.write( " $\"4u%5E2%2B7u-2=0\"$
\n" ); document.write( "discriminant is 7*7-4*4*(-2)=49+32=81.
\n" ); document.write( " $\"u=%28-7-sqrt%2881%29%29%2F%282%2A4%29=-16%2F8=-2\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"u=%28-7%2B9%29%2F8=2%2F8=1%2F4\"$
\n" ); document.write( "-
\n" ); document.write( "Reverse the substitution and find x.
\n" ); document.write( " $\"x%5E%282%2F3%29=-2\"$
\n" ); document.write( " $\"x=%28-2%29%5E%283%2F2%29\"$
\n" ); document.write( " $\"x=%28-8%29%5E%281%2F2%29\"$
\n" ); document.write( " $\"highlight%28x=2i%2Asqrt%282%29%29\"$ ------?.
\n" ); document.write( "-
\n" ); document.write( " $\"x%5E%282%2F3%29=1%2F4\"$
\n" ); document.write( " $\"x=%281%2F4%29%5E%283%2F2%29\"$
\n" ); document.write( " $\"x=%282%5E-2%29%5E%283%2F2%29\"$
\n" ); document.write( " $\"x=2%5E%28-3%29\"$
\n" ); document.write( " $\"highlight%28x=1%2F8%29\"$ \n" ); document.write( "

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