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Solving Inequalities

How many non-...

Question

How many non-zero integral values of X, Y and Z are there, such that $Z^{2} = X^{2} + Y^{2}$ and $Z^{2} \leq 100$ ?___

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Solution

The correct answer is 32. Check the video for the approach.

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x, y, z

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If $x = r s i n α c o s β, y = r s i n α s i n β$ and $z = r c o s α$ , then

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