Write an equation for the following statement:
Sum of squares of three numbers is $83 .$

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Solution

Writing an equation for the given statement:
Given that Sum of squares of three numbers is $83 .$
Let three numbers are $x, y$ and $z$
Square of $x, y$ and $z$ is $x^{2}, y^{2}$ and $z^{2}$
Now, the sum of $x^{2}, y^{2}$ and $z^{2}$ $\Rightarrow x^{2} + y^{2} + z^{2} = 83$
Hence, the required equation is $x^{2} + y^{2} + z^{2} = 83 .$

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