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Find all solutions of the equation. Leave answers in trigonometric form.x^2-36=0

Find all solutions of the equation. Leave answers in trigonometric form.x^2-36=0-example-1

1 Answer

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Given the equation:


x^2-36=0

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:


\begin{gathered} x^2-36+36=0+36 \\ \\ x^2=36 \end{gathered}

Take the square root of both sides of the equation:


\begin{gathered} √(x)=\pm√(36) \\ \\ x=-√(36),\text{ }√(36) \\ \\ x=-6,\text{ 6} \end{gathered}

Therefore, the solutions in trigonometric form are:


-√(36),\text{ }√(36)

ANSWER:


x=-6,\text{ 6}

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