Question

In 15 words or fewer, what are the inverse operations for the equation x^2+3=12.

Answer 1

The inverse operations are:

`12 - x^2 = 3`

`12 - 3 = x^2`

Explanation:

Given

`x^2 + 3 = 12`

Required

Determine the inverse operations

The operation in the given equation is addition operation;

The inverse of operation is the subtraction operation

This implies that, the operation be converted from addition to subtraction:

Considering
`x^2 + 3 = 12`

Subtract both sides by 3

`x^2 + 3 - 3 = 12 - 3`

`x^2 = 12 - 3` ---- This is an inverse operation

This can be rewritten as
`12 - x^2 = 3`

Another inverse operation is;

Considering
`x^2 + 3 = 12`

Subtract both sides by
`x^2`

`x^2 - x^2 + 3 = 12 - x^2`

`3 = 12 - x^2` ---- This is another inverse operation

This can be rewritten as
`12 - 3 = x^2`