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Solve for $t$ . $\newline$ $81 = t^2$ $\newline$ $t =$ _ or _

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Solve equations using square roots

Full solution

Q. Solve for

t

.

\newline

81 = t^2

\newline

t =

_____ or _____

Recognize equation form: Recognize the equation form. $81 = t^2$ is a basic quadratic equation where $t^2$ means $t$ squared.
Isolate $t$ : Isolate $t$ by taking the square root of both sides. $\newline$ $\sqrt{81} = \sqrt{t^2}$
Calculate square root: Calculate the square root. $\sqrt{81} = 9$ , because $9 \times 9 = 81$ . $\sqrt{t^2} = t$ , because the square root and the square cancel each other out.
Remember two solutions: Remember, there are two solutions for $t$ when you take the square root of a square. $\newline$ $t = 9$ or $t = -9$ , because both $9^2$ and $(-9)^2$ equal $81$ .

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