Question

find the real solution(s) of the equation $x^6 + 36 = 100$. $x = \square$ and $x = \square$

Explanation:

Step1: Isolate the $x^2$ term

Subtract 36 from both sides.
$x^2 = 100 - 36$

Step2: Calculate the right-hand side

Compute the difference.
$x^2 = 64$

Step3: Solve for x

Take square roots of both sides.
$x = \pm\sqrt{64} = \pm8$

Answer:

$x = 8$ and $x = -8$