0Oblicz wartość wyrażenia
[tex] \frac{x \times \sqrt{50} - {x}^{2} }{ 1 - x \times \sqrt{4.5} } [/tex]
dla x =
[tex] \sqrt{2} [/tex]



Odpowiedź :

Obliczenia

[tex]dla \ x=\sqrt2\\\\\frac{x\cdot\sqrt{50}-x^2}{1-x\cdot\sqrt{4,5}}=\frac{\sqrt2\cdot\sqrt{50}-(\sqrt2)^2}{1-\sqrt2\cdot\sqrt{4,5}}=\frac{\sqrt{2\cdot50}-2}{1-\sqrt{2\cdot4,5}}=\\\\=\frac{\sqrt{100}-2}{1-\sqrt9}=\frac{\sqrt{10^2}-2}{1-\sqrt{3^2}}=\frac{10-2}{1-3}=\frac{8}{-2}=\boxed{-4}[/tex]