Question

solve this equation for x.

Answer 1

$\frac{2}{x + 1} + \frac{3}{2(x+2)} = \frac{23}{5x}$

2/x + 1 * 10x(x+1)(x+2) + 3/2(x+2) * 10x(x+1)(x+2) = 23/5x * 10x(x+1)(x+2)

20x(x+2) + 15x(x+1) = 46(x+1)(x+2)

20x^2 + 40 + 15x^2 + 15 = 46x^2 + 138x + 92

46x^2 + 83x + 92 = 35x^2

11x^2 + 83x + 92 = 0

It is in the form of ax^2 + bx + c = 0.

Then, 

$x = \frac{-b + \sqrt{b^2 - 4ac} }{2a}$

$x = \frac{83 + \sqrt{(83)^2 - 4 * 11 * 92 } }{2 * 11}$

x = $\frac{-83 + \sqrt{2841} }{22}$

Then the other equation will be

$x = \frac{- 83 - \sqrt{2841} }{22}$


Hope this helps!