Practicing Success
If x + y + z = 0, then \(\frac{x^2}{yz}\) + \(\frac{y^2}{zx}\) + \(\frac{z^2}{xy}\) is equals to: |
(xyz)2 (x + y + z)2 9 3 |
3 |
\(\frac{x^2}{yz}\) + \(\frac{y^2}{zx}\) + \(\frac{z^2}{xy}\) ↓ This shows similarity. then put x = y = z \(\frac{x^2}{x^2}\) + \(\frac{x^2}{x^2}\) + \(\frac{x^2}{x^2}\) = 3 |