document.write( "Question 772794: Find all solutions, real and imaginary, of the equation: 4t^4 - 13t^2 = 12 \n" ); document.write( "
Algebra.Com's Answer #471124 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find all solutions, real and imaginary, of the equation: \n" ); document.write( "4t^4-13t^2=12 \n" ); document.write( "4t^4-13t^2-12=0 \n" ); document.write( "let u=t^2 \n" ); document.write( "u^2=t^4 \n" ); document.write( ".. \n" ); document.write( "4u^2-13u-12=0 \n" ); document.write( "(u-4)(4u+3)=0 \n" ); document.write( "u=4=t^2 \n" ); document.write( "t^2=±√4=±2 \n" ); document.write( "or \n" ); document.write( "u=-3/4=t^2 \n" ); document.write( "t^2=±√-3/4=±i√3/2\r \n" ); document.write( "\n" ); document.write( "solutions: -2, 2, -i√3/2, i√3/2 \n" ); document.write( " |