fraction equation

**sasha9193** · August 31st 2007, 12:50 PM

2/X + 2/X+1 = 3

X=1 X=?

Dunno Wot Else X Might Equal Help!

**red_dog** · August 31st 2007, 12:56 PM

Find the common denominator and bring the equation to the form $ax^2+bx+c=0$

**sasha9193** · August 31st 2007, 12:57 PM

RED DOG plz give answer

**sasha9193** · August 31st 2007, 12:58 PM

i got like 30 seconds

**topsquark** · August 31st 2007, 01:01 PM

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 $x(x + 1)$

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

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

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

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

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

Now use the quadratic formula.

-Dan

**sasha9193** · August 31st 2007, 01:04 PM

need the answer quick dont have formula

**sasha9193** · August 31st 2007, 01:05 PM

plz some1 submit the answer

**Krizalid** · August 31st 2007, 01:15 PM

Originally Posted by topsquark

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

$\begin{aligned}3x^2-x-2&=0\\3x^2+(2x-3x)-2&=0\\(3x^2-3x)+(2x-2)&=0\\3x(x-1)+2(x-1)&=0\\(x-1)(3x+2)&=0\end{aligned}$

No quadratic formula

Hey sasha9193, you gotta be patient, the answer depends of our time.

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