document.write( "Question 1181681: Solve (z+1)^2 = 2z^2 for z. \n" ); document.write( "

Algebra.Com's Answer #811576 by Boreal(15235) $\"\"$ $\"About$

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z^2+2z+1=2z^2
\n" ); document.write( "z^2-2z-1=0
\n" ); document.write( "z=(1/2)(2+/- sqrt(8))
\n" ); document.write( "=1+/- sqrt(2)
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\n" ); document.write( "Check
\n" ); document.write( "this is 2+sqrt(2) squared or 4+4 sqrt(2)+2 or 6+4 sqrt(2)=2(2+2 sqrt(2)^2=4+4 sqrt(2)+2, which works
\n" ); document.write( "or 2-sqrt(2) squared or 4-4 sqrt(2)+2 or 6-4 sqrt(2)=2(1-2sqrt(2)+2)=2-4sqrt(2)+4, which also works.\r
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