Question

If the product of two consecutive odd integers is decreased by one-third the lesser integer, the result is 150. find the integers

Answer 1

x(x+2)-(1/3)x=150
x²+2x-(1/3)x-150=0
x²+(5/3)x-150=0
3x²+5x-450=0
this does not produce an integer, because b²-2ac=5²+4*3*450=5425, and √5425=73.6546 is not an integer.
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