Question

I need help to answer an equation. I don't just want the answer, but how to do it...

Answer 1

The equation is: \[\frac{ 1 }{x } + \frac{ 1 }{x+1} = \frac{ 17 }{72}\]

Answer 2

@phi

Answer 3

Anyone know what I need to do???? PlEASE HELP

Answer 4

@DimamndHeart15713

Answer 5

@TheSmartOne

Answer 6

@Luigi0210

Answer 7

@SarthKohli

Answer 8

@Astrophysics

Answer 9

You need to add the two fractions. Find the LCM of x and x + 1

Answer 10

ok,
yeah
So the LCM is x+1 right?

Answer 11

one way is to "clear the denominator"
multiply both sides (and all terms) by x(x+1)

Answer 12

@phi I haven't learned that yet. I need to do the LCM thing..

Answer 13

it's the same idea. if you do it in steps:
multiply both sides (and all terms) by x

Answer 14

So, what's the LCM of this?

Answer 15

x+1?

Answer 16

you would get
\[ \frac{ x }{x } + \frac{ x }{x+1} = \frac{ 17x }{72}\\
1+ \frac{ x }{x+1} = \frac{ 17x }{72}
\]

Answer 17

OOh ok,

Answer 18

now multiply by (x+1)
both sides, all terms.

Answer 19

So,

Answer 20

you would get
\[ x+1 + x\frac{x+1}{x+1} = \frac{17x(x+1)}{72} \\
x+1 + x= \frac{17x(x+1)}{72}
\]