fraction equation

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August 31st 2007, 12:50 PM
sasha9193

fraction equation

2/X + 2/X+1 = 3

X=1 X=?

Dunno Wot Else X Might Equal Help!
August 31st 2007, 12:56 PM
red_dog

Find the common denominator and bring the equation to the form $ax^2+bx+c=0$
August 31st 2007, 12:57 PM
sasha9193

RED DOG plz give answer
August 31st 2007, 12:58 PM
sasha9193

i got like 30 seconds
August 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 $x(x + 1)$

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

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

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

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

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

Now use the quadratic formula.

-Dan
August 31st 2007, 01:04 PM
sasha9193

need the answer quick dont have formula
August 31st 2007, 01:05 PM
sasha9193

plz some1 submit the answer
August 31st 2007, 01:15 PM
Krizalid

Quote:

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 :D:D

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

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