# fraction equation

• Aug 31st 2007, 12:50 PM
sasha9193
fraction equation
2/X + 2/X+1 = 3

X=1 X=?

Dunno Wot Else X Might Equal Help!
• Aug 31st 2007, 12:56 PM
red_dog
Find the common denominator and bring the equation to the form $ax^2+bx+c=0$
• Aug 31st 2007, 12:57 PM
sasha9193
• Aug 31st 2007, 12:58 PM
sasha9193
i got like 30 seconds
• Aug 31st 2007, 01:01 PM
topsquark
Quote:

Originally Posted by sasha9193
2/X + 2/X+1 = 3

X=1 X=?

Dunno Wot Else X Might Equal Help!

I presume this is
$\frac{2}{x} + \frac{2}{x + 1} = 3$

To get rid of the fractions, multiply both sides by $x(x + 1)$

$x(x + 1) \cdot \left ( \frac{2}{x} + \frac{2}{x + 1} \right ) = x(x + 1) \cdot 3$

$2(x + 1) + 2(x) = 3x(x + 1)$

$2x + 2 + 2x = 3x^2 + 3x$

$4x + 2 = 3x^2 + 3x$

$3x^2 - x - 2 = 0$

-Dan
• Aug 31st 2007, 01:04 PM
sasha9193
need the answer quick dont have formula
• Aug 31st 2007, 01:05 PM
sasha9193
$3x^2 - x - 2 = 0$
\begin{aligned}3x^2-x-2&=0\\3x^2+(2x-3x)-2&=0\\(3x^2-3x)+(2x-2)&=0\\3x(x-1)+2(x-1)&=0\\(x-1)(3x+2)&=0\end{aligned}