Question

If a belongs to z I the equation (x-a) (x-10)+1=ohas integral roots then the roots of the equation are

Answer 1

Step-by-step explanation:

ANSWER

The given equation is (x−a)(x−10)+1=0

⇒(x−a)(x−10)=−1

∵(x,a)∈Z

Either

x−a=+1 and x−10=−1

⇒x=9 and a=8

Or

(x−a)=−1 and (x−10)=+1

⇒x=11 and a=12

∴(x,a)=(9,8) or (x,a)=(11,12)

⇒a=(8,12)