Question

tìm x: 2-x/16 = -4/x-2

Answer 1

(2 - x)/16 = -4/(x - 2)

(2 - x)/16 = 4/(2 - x)

(2 - x)² = 16.4

(2 - x)² = 64

2 - x = -8 hoặc 2 - x = 8

*) 2 - x = -8

x = 2 - (-8)

x = 10

*) 2 - x = 8

x = 2 - 8

x = -6

Vậy x = -6; x = 10

Answer 2

ĐKXĐ: x<>2

\(\dfrac{2-x}{16}=\dfrac{-4}{x-2}\)

=>\(\dfrac{x-2}{-16}=\dfrac{-4}{x-2}\)

=>\(\left(x-2\right)^2=\left(-16\right)\cdot\left(-4\right)=64\)

=>\(\left[{}\begin{matrix}x-2=8\\x-2=-8\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=10\left(nhận\right)\\x=-6\left(nhận\right)\end{matrix}\right.\)

Answer 3

(2 - x)/16 = -4/(x - 2)

(2 - x)/16 = 4/(2 - x)

(2 - x)² = 16.4

(2 - x)² = 64

2 - x = -8 hoặc 2 - x = 8

*) 2 - x = -8

x = 2 - (-8)

x = 10

*) 2 - x = 8

x = 2 - 8

x = -6

Vậy x = -6; x = 10