Question

Rezolvati in R ecuatia
${(x - 1)}^{2} = 2.(7)$
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Answer 1

Răspuns:

x₁ = 8/3

x₂ = -2/3

Explicație pas cu pas:

$(x-1)^{2} = 2,(7)$

$(x-1)^{2} = \frac{27-2}{9}$

$(x-1)^{2} = \frac{25}{9}$  ⇒  x-1 = ± 5/3

$(x_{1} -1) = \frac{5}{3}$  ⇒ $x_{1} = 1 + \frac{5}{3}$  ⇒  $x_{1} = \frac{8}{3}$

$(x_{2} - 1) = -\frac{5}{3}$  ⇒  $x_{2} = 1-\frac{5}{3}$  ⇒  $x_{2} = -\frac{2}{3}$