Question

the value of 1/x^2+1/y^2 at x=1/2 and y=-1/2

Answer 1

Explanation:

1/x² + 1/y²

and x = 1/2 and y = -1/2

$\frac{1}{ {x}^{2} } + \frac{1}{ {y}^{2} } = \frac{1}{ \frac{1}{2} {}^{2} } + \frac{1}{ \frac{ - 1}{2} {}^{2} } \\ \\ = \geqslant \frac{1}{ \frac{1}{4} } + \frac{1}{ \frac{1}{4} } \\ \\ = \geqslant \frac{1}{1} \times 4 + \frac{1}{1} \times 4 \\ \\ = \geqslant 4 + 4 = 8$

Putting value