The product of two consecutive positive integer is306 find the integer
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Answered by
4
LET THE INTEGER BE( X) AND( X+1)
NOW PRODUCT = 306
X (X+1) = 306
X^2 + X -306= 0
NOW
X^2 +18X - 17X -306=0
X(X+18) -17(X + 18)= 0
(X-17)(X+18) = 0
X=17
X= - 18
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Answered by
4
Let two positive integers be x, x+1
x(x+1) = 306
x2 + x - 306 =0
x2 + 18x - 17x - 306 =0
x(x+18) - 17(x+18) =0
(x+18)(x-17) =0
x=17, x not equal to - 18
so two integers are 17, 17+1
i.e 17 and 18
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