document.write( "Question 167450: A student is asked to solve the equation
\n" );
document.write( "
\n" );
document.write( "x^2 +x - 6 = 5\r
\n" );
document.write( "\n" );
document.write( "The student gives the following steps:
\n" );
document.write( "(x - 2)(x + 3) = 5
\n" );
document.write( "(x - 2) = 5 (x + 3) = 5
\n" );
document.write( "x = 7 x = 2\r
\n" );
document.write( "\n" );
document.write( "Explain whether or not this is correct, and make any necessary corrections.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #123349 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! The approach is WRONG. \n" ); document.write( "Proof: \n" ); document.write( "7^2+7-6=5 \n" ); document.write( "49+7-6=5 \n" ); document.write( "50=5 is an invalid proof. \n" ); document.write( "2^2+2-6=5 \n" ); document.write( "4+2-6=5 \n" ); document.write( "0=5 is another invalid proof. \n" ); document.write( "------------------------------------------ \n" ); document.write( "The proper solution follows: \n" ); document.write( "x^2+x-6=5 \n" ); document.write( "x^2+x-6-5=0 \n" ); document.write( "x^2+x-11=0 \n" ); document.write( " \n" ); document.write( "x=(-1+-sqrt[1^2-4*1*-11)/2*1 \n" ); document.write( "x=(-1+-sqrt[1+44])/2 \n" ); document.write( "x=(-1+-sqrt45)/2 \n" ); document.write( "x=(-1+-6.7082)/2 \n" ); document.write( "x=(-1+6.7082)/2 \n" ); document.write( "x=5.7082/2 \n" ); document.write( "x=2.8541 answer. \n" ); document.write( "x=(-1-6.7082)/2 \n" ); document.write( "x=-7.7082/2 \n" ); document.write( "x=-3.8541 answer. \n" ); document.write( " |