Question

2(3x-5)^2=9(3x-5)
Помогите пожалуйста

Answer 1

Ответ: x1 = 5/3

x2 = 19/6

Объяснение:

2(3x-5)^2=9(3x-5)

2(9x^2 - 30x +25) = 27x - 45

18x^2 - 60x + 50 = 27x - 45

18x^2 - 60x + 50 - 27x +45 = 0

18x^2 -87x + 95 = 0

18x^2 - 30x - 57x + 95 = 0

6x(3x - 5) - 19(3x - 5) = 0

(3x - 5) * (6x - 19) = 0

3x - 5 = 0; x = 5/3

6x - 19 = 0; x = 19/6

Answer 2

$2(3x - 5) ^{2} =9(3x - 5)$

$2(9x ^{2} - 30x + 25) = 27x - 45$

$18x^{2} - 60x +50 = 27x - 45$

$18x ^{2} - 60x + 50 - 27x + 45 = 0$

$18x ^{2} - 87x + 95 = 0$

Дискриминант:

$87 ^{2} - 4 \times 18 \times 95 = 7569 - 6840 = 729$

$x = \frac{87 + \sqrt{729} }{36} = \frac{87 + 27}{36} = \frac{114}{36} = 3 \frac{6}{36} = 3 \frac{1}{6}$

$x = \frac{87 - \sqrt{729} }{36} = \frac{87 - 27}{36} = \frac{60}{36} = \frac{10}{6} = \frac{5}{3} = 1 \frac{2}{3}$

Ответ: x= 1 2/3 и 3 1/6