Simple. (Problem 5 5 )

Algebra Level pending

x + 2 x \frac{x + 2}{x} = x = x

Find the positive value of x + 1 x + 1 .


The answer is 2.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Yajat Shamji
Jul 9, 2020

x + 2 x \frac{x + 2}{x} = x = x

x + 2 = x 2 x + 2 = x^2

x 2 ( x + 2 ) = 0 x^2 - (x + 2) = 0

x 2 x 2 = 0 x^2 - -x - 2 = 0

x 2 + x 2 = 0 x^2 + x - 2 = 0

( x + 2 ) ( x 1 ) = 0 (x + 2)(x - 1) = 0

x = 2 , 1 x = -2, 1

x + 1 = 1 , 2 x + 1 = -1, 2

Since we're asked for the positive value of x + 1 x + 1 , x + 1 = 2 x + 1 = \fbox{2} .

E r r o r ! E r r o r ! E r r o r i n s t e p 2 ! \color{#D61F06}Error! \ Error! \ Error \ in \ step \ 2!

S h o u l d b e x 2 ( x + 2 ) = 0 ( Y o u f o r g o t t h e p a r e n t h e s e s ! ) Should \ be \ x^2-(x+2)=0 \ (You \ forgot \ the \ parentheses!)

Lâm Lê - 9 months, 1 week ago

Log in to reply

Whoops! @Lin Le

Yajat Shamji - 9 months, 1 week ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...