document.write( "Question 1151681: Hello,\r
\n" );
document.write( "\n" );
document.write( "I would like to solve the equation below for X, but I struggle with exponent C, which makes it kind of difficult...\r
\n" );
document.write( "\n" );
document.write( "x = a - b*x^c \n" );
document.write( "
Algebra.Com's Answer #773530 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Because the x occurs both as a linear term and as a term to the power c, you can't solve the general equation for x. \n" ); document.write( "For the value c=1, solving the equation is simple: \n" ); document.write( "x = a-bx^1 \n" ); document.write( "x = a-bx \n" ); document.write( "x+bx = a \n" ); document.write( "x(1+b) = a \n" ); document.write( "x = a/(1+b) \n" ); document.write( "And you could also solve the equation if c=2: \n" ); document.write( "x = a-bx^2 \n" ); document.write( "bx^2+x-a = 0 \n" ); document.write( "Then use the quadratic formula.... \n" ); document.write( "But for other values of c, the given equation can't be solved for x. \n" ); document.write( " \n" ); document.write( " |