document.write( "Question 268967: Please help me solve this problem. \r
\n" ); document.write( "\n" ); document.write( "1. Type an exact answer, using radicals as needed. Rationalize all denominators. use a comma to seperate answeres as needed.\r
\n" ); document.write( "\n" ); document.write( "15x^4-8x^2+1=0 \n" ); document.write( "

Algebra.Com's Answer #197067 by psbhowmick(878) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation is $\"15x%5E4-8x%5E2%2B1=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Substitute $\"x%5E2+=+z\"$ .
\n" ); document.write( "Thus the equation becomes
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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

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This is an equation! Solutions: z=0.333333333333333,z=0.2.
Graphical form: Equation $\"15%2Az%5E2-8%2Az%2B1=0\"$ was fully solved.
Text form: 15*z^2-8*z+1=0 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+15%2Az%5E2-8%2Az%2B1=0+%29\"$
For tutors: simplify_cartoon( 15*z^2-8*z+1=0 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+15%2Az%5E2-8%2Az%2B1+%29=0\"$ .
Equation $\"highlight_red%28+15%2Az%5E2-8%2Az%2B1=0+%29\"$ is a quadratic equation: 15*z^2-8*z+1 =0, and has solutions 0.333333333333333,0.2
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: z=0.333333333333333,z=0.2.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Thus z = $\"1%2F5\"$ , $\"1%2F3\"$ .
\n" ); document.write( "Hence, x = $\"1%2Fsqrt%285%29\"$ , $\"1%2Fsqrt%283%29\"$ i.e. $\"sqrt%285%29%2F5\"$ , $\"sqrt%283%29%2F3\"$ \n" ); document.write( "

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