Question

Determine the integers whose product with -1 is 23

Answer 1

Answer:

Let the two consecutive positive odd integers be x and (x + 2) According to the ... More

Answer 2

Answer:

Let the two consecutive positive odd integers be x and (x + 2).

According to the given condition,

x(x+2)=483⇒x2+2x−483=0⇒x2+23x−21x−483=0⇒x(x+23)−21(x+23)=0

⇒(x+23)(x−21)=0⇒x+23=0 or x−21=0⇒x=−23 or x=21

∴ x = 21 (x is a positive odd integer)

When x = 21,

x + 2 = 21 + 2 = 23

Hence, the required integers are 21 and 23.