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[tex] \frac{1}{x} - \frac{x}{4} =1 unde x\neq 0[/tex]

Răspuns :

Se aduce la acelasi numitor 4x si se obtine:
4-x²=4x
-x²-4x+4=0 |·(-1)
x²+4x-4=0
Δ=16+16=32
[tex]x_{1/2}= \frac{-4\pm 4\sqrt{2}}{2} =-2\pm2\sqrt{2}[/tex]