Mathematics: How do I find x in this question?

How do I find x in this question? - id10916723, fantasticjrod

Ответ:

luhmama

20.03.2022

Mathematics

x = 8

Step-by-step explanation:

By Basic Proportionality Theorem:

$\frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8$

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Ответ:

tashakelly42

19.02.2021

Mathematics

Step-by-step explanation:

=(13-2)180*

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