Question

resolver :
x=√3(2400-x)

Answer 1

x = √3(2400-x)

x = 2400√3 - √3x

x + √3x = 2400√3

x (1+√3) = 2400√3

x = $\frac{2400\sqrt{3} }{1+\sqrt{3} }$

Multiplicando em cima e embaixo por (1 - √3), temos:

x = $\frac{2400\sqrt{3} (1-\sqrt{3}) }{(1+\sqrt{3}) (1-\sqrt{3}) }$

$x = \frac{2400\sqrt{3} - 2400(3) }{1 - 3} = \frac{2400(\sqrt{3}-3) }{-2} = \frac{-1200(\sqrt{3}-3) }{1}$

x = $-1200(\sqrt{3} - 3)$