document.write( "Question 1050873: If 3x = square root of 2, what is the value of 12x^6 - 9x^4 + 6x^2? \n" ); document.write( "

Algebra.Com's Answer #666483 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
3x = square root(2)
\n" ); document.write( ":
\n" ); document.write( "square both sides of =
\n" ); document.write( ":
\n" ); document.write( "9x^2 = 2
\n" ); document.write( ":
\n" ); document.write( "x^2 = 2/9
\n" ); document.write( ":
\n" ); document.write( "12x^6 - 9x^4 + 6x^2 =
\n" ); document.write( ":
\n" ); document.write( "12(x^2)^3 - 9(x^2)^2 + 6(x^2) =
\n" ); document.write( ":
\n" ); document.write( "x^2(12(x^2)^2 -9(x^2) +6) =
\n" ); document.write( ":
\n" ); document.write( "2/9(12(2/9)^2 -9(2/9) +6) =
\n" ); document.write( ":
\n" ); document.write( "2/9((12*4/81) -2 +6) = 1.02
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

\n" );