Question

Let the quotient of − 1 and ^2 − 2 be equal to the quotient of 1 and 2.

Answer 1

The quotient of −1 and (^2 − 2) is equal to the quotient of 1 and 2. Let's solve the equation step by step.

Step-by-step explanation:

Let's solve the equation step by step:

Let the quotient of −1 and ^2 − 2 be equal to the quotient of 1 and 2.

This can be written as: −1 / (^2 − 2) = 1 / 2

Now, let's simplify the equation:

Multiply both sides of the equation by 2:

2 × (−1) / (^2 − 2) = 2 × 1 / 2

Simplify the left side of the equation:

−2 / (^2 − 2) = 1

Now, cross multiply to eliminate the fractions:

−2 = (^2 − 2)

Add 2 to both sides of the equation:

−2 + 2 = ^2 − 2 + 2

Simplify:

0 = ^2

The equation simplifies to 0 = ^2. This means that the value of ^2 is 0.