Answer: The value of greater integers can be 19 or -18.
Quadratic equation used :[tex]x^2-x-342=0[/tex]
Step-by-step explanation:
Since we have given that
Two consecutive integers i.e. x and (x-1).
So, product of two consecutive integers = 342.
According to question, it becomes,
[tex]x(x-1)=342\\\\x^2-x=342\\\\x^2-x-342=0\\\\x^2-19x+18x-342=0\\\\x(x-19)+18(x-19)=0\\\\x-19=0\ or\ x+18=0\\\\x=19\ or\ x=-18[/tex]
Hence , the value of greater integers can be 19 or -18.
Quadratic equation used :[tex]x^2-x-342=0[/tex]
