Three consecutive integers are taken so x^2 + (x+1)(x+2)=154. Find the integers
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this is the answer. the numbers are 8,9 and 10
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Answer: let three consecutive positive integers
= x,x+1,x+2
so, x²+(x+1)(x+2) = 154
= x²+x²+2x+x +2= 154
2x²+3x-152= 0
= 2x²+19x-16x-154=0
( x-8)(2x+19)
x= 8
so, x+1 = 9
x+2= 10 ans.
so, the multiple of 3 is 9
so, the integer is x+1ans.
answer➡ 8,9,10.
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