If $x = 1, y = 2$ and $z = 5$ , find the value of $2 x^{2} - 3 y^{2} + z^{2}$ .

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Solution

Given: $2 x^{2} - 3 y^{2} + z^{2}$
Now, when $x = 1, y = 2$ and $z = 5$ , we get,
$\Rightarrow 2 (1)^{2} - 3 (2)^{2} + (5)^{2}$
$= 2 - 3 \times 4 + 25$
$= 27 - 12$
$= 15$
Hence, $2 x^{2} - 3 y^{2} + z^{2} = 15$

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