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Solve for $u$ . $\newline$ $64 = u^2$ $\newline$ $u = \_\_\_\_$ or $\_\_\_\_$

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Solve equations using square roots

Full solution

Q. Solve for

u

.

\newline

64 = u^2

\newline

u = \_\_\_\_

or

\_\_\_\_

Recognize equation form: Recognize the equation form. $64 = u^2$ is a basic quadratic equation where $u^2$ means $u$ is squared.
Apply square root: Apply the square root to both sides. $\newline$ $\sqrt{64} = \sqrt{u^2}$ $\newline$ This step helps to simplify the equation by removing the square, making $u$ by itself.
Calculate square root: Calculate the square root. $\sqrt{64} = 8$ because $8 \times 8 = 64$ . $\sqrt{u^2} = u$ or $-u$ because squaring a negative number also gives a positive result.
Write solutions: Write down the solutions. $\newline$ $u = 8$ or $u = -8$ $\newline$ These are the two possible values for $u$ that satisfy the original equation.

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