Question

The product of two consecutive positive integers is 342. Represent in the above situation in the form of quadratic equation. Find the numbet also.

Answer 1

let x, x+1 are two consecutive positive integers
x(x+1)=342
x^2+x-342=0
x^2+19x-18x-19×18=0
x(x+19)-18(x+19)=0
(x+19)(x-18)=0
x+19=0 or x-18=0
x= -19 or x= 18
but numbers are positive
x=18
required numbers are 18,19

Answer 2

X^2+x-342=0 where x is smaller integer.