Автор - Катя24082000

Ребят срочно помогите
Решите уравнение (x-1)^2=(2x-5)^2

Ответ

Автор - servicebess
 (x-1)^{2} = (2x-5)^{2}

 x^{2} - 2x + 1 = 4 x^{2} - 20x + 25

-3 x^{2} + 18x - 24 = 0

3 x^{2} - 18x + 24 = 0

D =  (-18)^{2} - 4*3*24 = 36

 x_{1,2} =  frac{18 frac{+}{-} sqrt{36} }{6}

 x_{1} = 4

 x_{2} = 2

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