Question

What are the solutions of 12 - x ^ 2 = 0 ? X = 2sqrt(3) and x = - 2sqrt(3) x = 3sqrt(2) and x = - 3sqrt(2) x = 4sqrt(3) x = - 4sqrt(3) x = 6 and x = - 6

Answer 1

A.
`x = 2√(3)` and
`- 2 √(3)`

Explanation:

The equation is:

`12 - x^2 = 0`

To solve this, move 12 to the right hand side and find its square root:

`12 = x^2\\\\=> x^2 = 12\\\\x = √(12)`

The square root of a number has two answers, a negative and a positive number of the same value:

=>
`x = 2√(3)` and
`- 2 √(3)`