document.write( "Question 633063: 9x^4+ 26x^2 = 3 \n" ); document.write( "
Algebra.Com's Answer #398633 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 9x^4+ 26x^2 = 3\r \n" ); document.write( "\n" ); document.write( "let x^2=a\r \n" ); document.write( "\n" ); document.write( "9a^2+26a-3=0\r \n" ); document.write( "\n" ); document.write( "9a^2+27a-a-3=0\r \n" ); document.write( "\n" ); document.write( "9a(a+3)-1(a+3)=0\r \n" ); document.write( "\n" ); document.write( "(9a-1)(a+3)=0\r \n" ); document.write( "\n" ); document.write( "either 9a-1=0 \r \n" ); document.write( "\n" ); document.write( "OR\r \n" ); document.write( "\n" ); document.write( "a+3=0\r \n" ); document.write( "\n" ); document.write( "9a-1=0 \n" ); document.write( "resubstitute a \n" ); document.write( "9x^2-1=0 \n" ); document.write( "(3x+1)(3x-1)=0\r \n" ); document.write( "\n" ); document.write( "x= +/- 1/3\r \n" ); document.write( "\n" ); document.write( "---- \n" ); document.write( "a+3=0 \n" ); document.write( "x^2+3=0 \n" ); document.write( "x^2=-3\r \n" ); document.write( "\n" ); document.write( "x^2=-1*3\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "x= +/-sqrt(3)i\r \n" ); document.write( "\n" ); document.write( "x= +/- (1/3) \n" ); document.write( " |