document.write( "Question 174435: Find the whole number such that twicw its square is 11 more than 21 times the original number ? \n" ); document.write( "
Algebra.Com's Answer #129430 by nerdybill(7384)\"\" \"About 
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Let x = the whole number
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\n" ); document.write( "From: \"twice its square is 11 more than 21 times the original number\"
\n" ); document.write( "2x^2 = 21x+11
\n" ); document.write( "2x^2 - 21x - 11 = 0
\n" ); document.write( "Factoring the left:
\n" ); document.write( "(2x+1)(x-11) = 0
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\n" ); document.write( "Setting each term on the left to zero:
\n" ); document.write( "(2x+1) = 0
\n" ); document.write( "2x = -1
\n" ); document.write( "x = -1/2
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\n" ); document.write( "(x-11) = 0
\n" ); document.write( "x = 11
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\n" ); document.write( "Solution set:
\n" ); document.write( "x = {-1/2, 11}
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\n" ); document.write( "Since the problem asks for a \"whole number\" we eliminate the -1/2 leaving us with:
\n" ); document.write( "x = 11 \n" ); document.write( "
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