Let x,y=two integers
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x+y=15 The sum of two integers is 15.
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xy=x2-y2+9 Their product is 9 more than the difference of their squares.\r
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x2-y2=(x+y)(x-y)=15(x-y)=15x-15y\r
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document.write( "So,\r
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document.write( "xy=15x-15y+9\r
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document.write( "Since x+y=15, y=15-x so,\r
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document.write( "x(15-x)=15x-15(15-x)+9
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document.write( "15x-x2=15(x-15+x)+9=15(2x-15)+9=30x-225+9=30x-216
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document.write( "x2+15x-216=0
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document.write( "(x+24)(x-9)=0\r
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document.write( "So x=-24 or 9\r
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document.write( "If x=-24, y=15-(-24)=15+24=37
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document.write( "if x=9 y=15-9=6\r
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document.write( "Therefore, there are two solutions: the integers are either -24 and 37, or 6 and 9.\r
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