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Question
\frac{64}{1}-a^{2}
Simplify the expression
64-a^{2}
Evaluate
\frac{64}{1}-a^{2}
Solution
64-a^{2}
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Factor the expression
\left(8-a\right)\left(8+a\right)
Evaluate
\frac{64}{1}-a^{2}
Evaluate
64-a^{2}
Rewrite the expression in exponential form
8^{2}-a^{2}
Solution
\left(8-a\right)\left(8+a\right)
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Find the roots
a_{1}=-8,a_{2}=8
Evaluate
\frac{64}{1}-a^{2}
To find the roots of the expression,set the expression equal to 0
\frac{64}{1}-a^{2}=0
Divide the terms
64-a^{2}=0
Move the constant to the right-hand side and change its sign
-a^{2}=0-64
Removing 0 doesn't change the value,so remove it from the expression
-a^{2}=-64
Change the signs on both sides of the equation
a^{2}=64
Take the root of both sides of the equation and remember to use both positive and negative roots
a=\pm \sqrt{64}
Simplify the expression
More Steps
Evaluate
\sqrt{64}
\text{Write the number in exponential form with the base of }8
\sqrt{8^{2}}
\text{Reduce the index of the radical and exponent with }2
8
a=\pm 8
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&a=8\\&a=-8\end{align}
Solution
a_{1}=-8,a_{2}=8
Show Solutions
