Three consecutive positive integers are such that the sum of the squar – InterviewSolution

InterviewSolution

1.	Three consecutive positive integers are such that the sum of the squareof the first and the product of other two is 46, fond the integers.
Answer» Correct Answer - 4,5,6 Let the required numbers be `x,(x+1)" and "(x+2).` Then, `x^(2)+(x+1)(x+2)=46implies2x^(2)+3x-44=0implies2x^(2)+11x-8x-44=0` `implies(2x+11)(x-4).` `xne(-11)/(2)`, since x is an integer.

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