16404: Revision history

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24 October 2024

  • curprev 06:1206:12, 24 October 2024Andrei.Horvat talk contribs 1,811 bytes +1,811 Created page with "'''16404 (Gabriela Kadar)''' ''Aflați valoarea minimă a expresiei'' <math>E\left(x,y\right) = \sqrt{x^2+y^2}</math>, ''cu'' <math>x,y\in \mathbb{R}</math>, ''astfel încât'' <math>mx+ny = p </math>, ''unde'' <math>p > 0</math>, <math>m,n \in \mathbb{R}</math>. '''Soluție:''' Fie <math>n \ne 0</math>. Din condiția <math>mx+ny = p </math> se obține <math>y = \frac{p-mx}{n}</math>. Atunci <math display="block">x^2 + y^2 = x^2 + \left( \frac{p-mx}{n}\right)^2 = \fra..."