Question

(x - 5) 2 = 81

Answer 1

$(x-5)^2=81\to x-5=\pm\sqrt{81}\ \ \ |+5\\\\x=5\pm\sqrt{81}$

Answer: 5 ± √(81)

Answer 2

Answer:

Option 2nd is correct

$5 \pm \sqrt{81}$

Step-by-step explanation:

Given the equation:

$(x-5)^2 = 81$

Taking square root both sides we have;

$\sqrt{(x-5)^2}= \pm \sqrt{2}$

Using the exponent rule:

$\sqrt[n]{x^n}=x$

then;

$x-5 = \pm \sqrt{81}$

Add 5 to both sides we have;

$x-5+5= 5 \pm \sqrt{81}$

Simplify:

$x = 5 \pm \sqrt{81}$

Therefore, the following expressions represents the solutions to the given equation is, $5 \pm \sqrt{81}$