Question

1000-10x/x=1000/x+5

alguem me ajuda nessa ???

Answer 1

$\frac{1000 - 10x}{x} = \frac{1000}{x + 5} \\ \\ (1000 + 10x) \times (x - 5) = 1000x \\ \\ (1000 - 10x) \times (x + 5) - 1000x = 0 \\ \\ 1000x + 5000 - 10^{2} - 50x - 1000x = 0 \\ \\ 10.(500 - x^{2} - 5x) = 0 \\ \\ 10 .(- x - 5x + 500) = 0 \\ \\ 10.( - x ^{2} + 20x - 25x + 500) = 0 \\ \\ 10( - x.(x - 20) - 25(x - 20) = \\ \\ 10( - (x -20)).(x + 5) = 0 \\ \\ \\ - 10(x - 20).(x + 25 )= \\ \\ \\ \\ x - 2 0 \\ \\ x + 2$