Question

Which of the following statements follows from (x - 3)^2 = 7?

x2 + 9 = 7x - 3 = ± x - 3 = ±49

Answer 1

square root both sides

we get x-3=±√7

so that would be B

Answer 2

`x-3=\pm√(7)`

Explanation:

We have been given an equation
`(x-3)^2=7`. We are asked to choose the correct answer about our given equation.

To solve our given equation, we will take square root of both sides of our equation as:

`√((x-3)^2)=\pm√(7)`

Using radical rule
`\sqrt[n]{a^n}=a`, we will get:

`x-3=\pm√(7)`

Therefore, option B is the correct choice.