Question

1200+2x-12000/x-20x=1260

Answer 1

The given equation is,
$1200 + 2x - \frac{12000}{x} - 20x = 1260$

Further simplifying,

$\frac{12000}{x} - 18x = 60$
Simplifying,

$12000 - 18 {x}^{2} = 60x$
This can be written as,

$18 {x}^{2} + 60x - 12000 = 0$

Solution of this equation,
If equation is in the form ax² + bx + c = 0.
$x = \frac{-b ± \sqrt{ {b}^{2} - 4.a.c}}{2 \times a }$
$x = \frac{- 60 ± \sqrt{ {60}^{2} - 4.18.(- 12000)}}{2 \times 18}$


$x = \frac{- 60 ± 60\sqrt{241}}{36}$
On simplifying,

$x = \frac{- 5 ± 5\sqrt{241}}{3}$
Two roots are
$x = \frac{- 5 + 5\sqrt{241}}{3} \: and \: \frac{- 5 - 5\sqrt{241}}{3}$

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