Question

give me the right answer
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Answer 1

Answer:

x = 0,4

Step-by-step explanation:

$\frac{1}{(x - 1)(x - 2)} + \frac{1}{(x - 2)(x - 3)} = \frac{2}{3}$

$\Rightarrow \frac{(x - 3) + (x - 1)}{(x - 1)(x - 2)(x - 3)} = \frac{2}{3}$

$\Rightarrow \frac{x - 3 + x - 1}{(x - 1)(x - 2)(x - 3)} = \frac{2}{3}$

$\Rightarrow \frac{2x - 4}{(x - 1)(x - 2)(x - 3)} = \frac{2}{3}$

$\Rightarrow \frac{2(x - 2)}{(x - 1)(x - 2)(x - 3)} = \frac{2}{3}$

$\Rightarrow \frac{1}{(x - 1)(x - 3)} = \frac{1}{3}$

$\Rightarrow x^2 - 3x - x + 3 = 3$

$\Rightarrow x^2 - 4x = 0$

$\Rightarrow x(x - 4) = 0$

$\Rightarrow x = 0, x = 4$

Answer 2

$\huge\bf{Answer:-}$

Refer the attachment.