Respuesta :

Given the equation:

[tex]x^2-36=0[/tex]

Let's find all the solutions of the equation.

To find the solution, let's solve the equation for x.

The first step is to add 36 to both sides of the equation:

[tex]\begin{gathered} x^2-36+36=0+36 \\ \\ x^2=36 \end{gathered}[/tex]

Take the square root of both sides of the equation:

[tex]\begin{gathered} \sqrt{x}=\pm\sqrt{36} \\ \\ x=-\sqrt{36},\text{ }\sqrt{36} \\ \\ x=-6,\text{ 6} \end{gathered}[/tex]

Therefore, the solutions in trigonometric form are:

[tex]-\sqrt{36},\text{ }\sqrt{36}[/tex]

ANSWER:

[tex]x=-6,\text{ 6}[/tex]

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