document.write( "Question 174436: Three times the square of the number when added to seven times the number result in 26.What is the number ? \n" ); document.write( "

Algebra.Com's Answer #129431 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
Three times the square of the number when added to seven times the number result in 26.What is the number ?
\n" ); document.write( ".
\n" ); document.write( "Let x = the number
\n" ); document.write( ".
\n" ); document.write( "3x^2 + 7x = 26
\n" ); document.write( "3x^2 + 7x - 26 = 0
\n" ); document.write( "(3x+13)(x-2) = 0
\n" ); document.write( ".
\n" ); document.write( "Setting each term to zero:
\n" ); document.write( "(3x+13) = 0
\n" ); document.write( "3x = -13
\n" ); document.write( "x = -13/3
\n" ); document.write( ".
\n" ); document.write( "(x-2) = 0
\n" ); document.write( "x = 2
\n" ); document.write( ".
\n" ); document.write( "Solution set:
\n" ); document.write( "x = {2, -13/3}
\n" ); document.write( ".
\n" ); document.write( "Tossing out the negative fraction leaves us with:
\n" ); document.write( "x = 2
\n" ); document.write( " \n" ); document.write( "

\n" );