Question

chapter test (1) write two rational numbers which are their own reciprocal.​

Answer 1

Answer:

The two possible rational numbers are 1 or -1.

Let the number be x. The number is reciprocal of itself.

x = 1/x. Multiply both sides by x.

x^2=1

x^2–1=0

(x +1)*(x-1)=0

x = -1 or x=1. {Both 1 & -1 are rational numbers}

Reciprocal of 1 is 1.

Reciprocal of -1 is -1.

Explanation: