document.write( "Question 79697This question is from textbook New York Math A semesters 1 & 2
\n" ); document.write( ": the larger of two intergers is 3 more than the smaller. If twice the square of the smaller interger is increased by 3 times the larger interger, the result is 23. Find the larger interger. \n" ); document.write( "
Algebra.Com's Answer #57196 by ankor@dixie-net.com(22740)\"\" \"About 
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the larger of two integers is 3 more than the smaller.
\n" ); document.write( "smaller integer = x, and larger = (x+3)
\n" ); document.write( ":
\n" ); document.write( "If twice the square of the smaller integer is increased by 3 times the larger integer, the result is 23.
\n" ); document.write( "2x^2 + 3(x+3) = 23
\n" ); document.write( ":
\n" ); document.write( "Find the larger integer.
\n" ); document.write( "2x^2 + 3x + 9 = 23
\n" ); document.write( ":
\n" ); document.write( "2x^2 + 3x + 9 - 23 = 0
\n" ); document.write( ":
\n" ); document.write( "2x^2 + 3x - 14 = 0
\n" ); document.write( ":
\n" ); document.write( "(2x + 7)(x - 2) = 0
\n" ); document.write( ":
\n" ); document.write( "2x = -7,
\n" ); document.write( "x = -7/2 = -3.5; not an integer, so ignore this solution
\n" ); document.write( "and
\n" ); document.write( "x = +2, the larger integer: 2+3 = 5
\n" ); document.write( ":
\n" ); document.write( "Check using the statement,
\n" ); document.write( "\"If twice the square of the smaller integer is increased by 3 times the larger integer, the result is 23.\"
\n" ); document.write( ";
\n" ); document.write( "2(2^2) + 3(5) = 23; solution checks out
\n" ); document.write( ":
\n" ); document.write( "Could you follow this OK?
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