document.write( "Question 184027: seven more then 11 times a number is 6 times the square of the number \n" ); document.write( "

Algebra.Com's Answer #138121 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Just write an equation for what it says:
\n" ); document.write( "seven more then 11 times a number is 6 times the square of the number
\n" ); document.write( "11x + 7 = 6x^2
\n" ); document.write( ":
\n" ); document.write( "0 = 6x^2 - 11x - 7; our old friend, the quadratic equation!
\n" ); document.write( ":
\n" ); document.write( "Unless they're trying to torment us, it should factor.
\n" ); document.write( "(2x + 1) (3x - 7) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "2x = -1
\n" ); document.write( "x = $\"-1%2F2\"$
\n" ); document.write( "and
\n" ); document.write( "3x = +7
\n" ); document.write( "x = $\"7%2F3\"$
\n" ); document.write( "x = 2 $\"1%2F3\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check the 1st solution using x = -.5 in the original statement:
\n" ); document.write( "\"seven more then 11 times a number is 6 times the square of the number\"
\n" ); document.write( "11(-.5) + 7 = 6(-.5)^2
\n" ); document.write( "-5.5 + 7 = 6(.25)
\n" ); document.write( "+1.5 = +1.5
\n" ); document.write( ":
\n" ); document.write( "You can check the the x = $\"7%2F3\"$ solution using a calc:
\n" ); document.write( " \n" ); document.write( "

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