A binary operation ∗ ∗ is defined on a set of real numbers by x ∗ ∗ y = xy for all real values of x and y. If x ∗ ∗ 2 = x. Find the possible values of x

Question 1 Report

A binary operation $*$ is defined on a set of real numbers by x $*$ y = xy for all real values of x and y. If x $*$ 2 = x. Find the possible values of x

0, 1

1, 2

2, 2

0, 2

Answer Details

x $*$ y = xy
x $*$ 2 = x2
x $*$ 2 = x
∴ x2 - x = 0
x(x - 1) = 0
x = 0 or 1

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Binary Operations

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