Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, fond the integers.

Answer

4,5,6

Explanation

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.