document.write( "Question 384467: Find the positive roots of the equation 4x squared +27x=40 by completing the square \n" ); document.write( "
Algebra.Com's Answer #272172 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the positive roots of the equation 4x squared +27x=40 by completing the square \n" ); document.write( "------------ \n" ); document.write( "4x^2 + 27x = 40 \n" ); document.write( "--- \n" ); document.write( "4(x^2+(27/4)x + (27/8)^2) = 40+ 4(27/8)^2 \n" ); document.write( "----- \n" ); document.write( "4(x+(27/8))^2 = 85.5625 \n" ); document.write( "--- \n" ); document.write( "(x+(27/8)) = +/-sqrt[85.5625/4] \n" ); document.write( "--- \n" ); document.write( "x+(27/8) = +/-4.625 \n" ); document.write( "--- \n" ); document.write( "x = -(27/8)+-4.625 \n" ); document.write( "======================== \n" ); document.write( "x = 1.25 and x = -8 \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |