(x - 5)² = 81. Which of the following expressions represents the solutions to the given equation?

-5 ± √(81)

5 ± √(81)

-25 ± √(81)

None of the above

Solution:

It is given that

(x - 5)² = 81

Taking square root on both sides

x - 5 = √81

We can write it as

x = 5 ± √(81)

x = 5 ± 9

Here

x = 5 + 9 = 14

And 

x = 5 - 9 = -4

Therefore, 5 ± √(81) represents the solutions to the given equation.

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(x - 5)² = 81. Which of the following expressions represents the solutions to the given equation?

Summary:

The expression which represents the solutions to the given equation (x - 5)² = 81 is 5 ± √(81).