document.write( "Question 1068750: Without solving the given equation, find an equation whose roots are the squares of the roots of x^2 + 4x + 2 = 0. \n" ); document.write( "

Algebra.Com's Answer #684032 by josgarithmetic(39617) $\"\"$ $\"About$

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x^2+4x+2=0 has roots $\"%28-4-sqrt%2816-4%2A2%29%29%2F2\"$ and $\"%28-4%2Bsqrt%2816-4%2A2%29%29%2F2\"$ ;\r
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\n" ); document.write( "\n" ); document.write( " $\"-2-sqrt%282%29\"$ and $\"-2%2Bsqrt%282%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "To make the equation whose roots are the squares of each of those,
\n" ); document.write( "the new roots would be $\"6%2B4%2Asqrt%282%29\"$ and $\"6-4%2Asqrt%282%29\"$ .
\n" ); document.write( "THe equation starts as $\"%28x-%286%2B4sqrt%282%29%29%29%28x-%286-4%2Asqrt%282%29%29%29=0\"$ . Then one more small step.
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