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a fost răspuns

Rezolvati, in R, ecuatiile:
b) x^2 =1/2
c) 2 x x^2 = 0

Răspuns :

Efektm

Răspuns:

b)  [tex]x_{1} = \frac{\sqrt{2} }{2}[/tex]   [tex]x_{2} = -\frac{\sqrt{2} }{2}[/tex]

c)  [tex]x = 0[/tex]

Explicație pas cu pas:

b)

[tex]x^{2} = \frac{1}{2} = > x_{1} = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2} ; x_{2} = -\frac{\sqrt{2} }{2}[/tex]

c)

[tex]2x^{2} = 0 = > x^{2} = 0 = > x = 0[/tex]

Andyilye

[tex]b) \ x^2 = \dfrac{1}{2} \implies |x | = \pm \sqrt{\dfrac{1}{2}} = \pm \dfrac{\sqrt{2} }{2}[/tex]

[tex]S = \bigg\{-\dfrac{\sqrt{2} }{2};\dfrac{\sqrt{2} }{2}\bigg\}[/tex]

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[tex]c) \ 2 \cdot x^2 = 0 \implies x^2 = 0 \implies x = 0[/tex]

[tex]S = \{0\}[/tex]

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