Question

Solve. Check for extraneous solutions.
x^2/x+5=4/x+5

Answer 1

start by multiplying both sides wid (x+5)

Answer 2

that gets rid of the denominators

Answer 3

so far i just cross multiplied and got x^3+5x^=4x+20

Answer 4

wait so is the answer x= +or -2?

Answer 5

@ganeshie8

Answer 6

\(\large \frac{x^2}{x+5}=\frac{4}{x+5}\)

Answer 7

multiplying (x+5) both sides gives u :

\(\large x^2 = 4\)

Answer 8

taking square-root gives :

\(\large x = \pm 2\)

Answer 9

so, you're right !!

Answer 10

ok great i have another one im confused on

Answer 11

And, do check if they satisfy the original equation or not.

Answer 12

how y plugging in 0?

Answer 13

by*

Answer 14

if they DONT satisfy the original equation,
then they are called 'extraneous solutions'

Answer 15

just plugin x = 2 in the given equation,
and see if u get same thing on both sides

Answer 16

ok its satisfies

Answer 17

wat about x = -2 ?

Answer 18

no

Answer 19

why no,
i see x=-2 also satisfies

Answer 20

oops i mean yes

Answer 21

both satisfy

Answer 22

cool :)

so both are good solutions oly.

they're not extraneous/errenous/bad in any way ok

Answer 23

how about this one:

3/x+2=x-3/2x+4

Answer 24

look at right side denominator,
can u factor the GCF ?

Answer 25

i simplified 2(x+2)

Answer 26

\(\large \frac{3}{x+2}=\frac{x-3}{2x+4}\)

\(\large \frac{3}{x+2}=\frac{x-3}{2(x+2)}\)

\(\large 3 = \frac{x-3}{2}\)

Answer 27

yes, ive cancelled the x+2 both sides. looks ok ?

Answer 28

what how?

Answer 29

at step 2 :
look at denominators on both sides
x+2 is there on both sides right ?

Answer 30

ohhh i get it

Answer 31

good :)

Answer 32

from here do u just cross multily

Answer 33

yes !

Answer 34

x=9

Answer 35

Perfect !

Answer 36

u need to check if it is good/bad

Answer 37

bad

Answer 38

nope. it is good

Answer 39

wait nvm

Answer 40

plug x = 9 in the original equation
and see if it satisfies

Answer 41

yea my bad

Answer 42

lol okie doke

Answer 43

i dont get this one:
3/x-1+5/x+1=8x+5/x^-1

Answer 44

theres like two parts to it

Answer 45

oh please dont leave i have a couple more prob @ganeshie8

Answer 46

\(\large \frac{3}{x-1}+\frac{5}{x+1}=\frac{8x+5}{x-1}
\)

Answer 47

like that ?

Answer 48

i mean x^-1

Answer 49

then it must be more likely a typo in ur question..

Answer 50

why

Answer 51

this doesnt look simple :o

Answer 52

fine r u good with fractions? i have two questions with complex fractions

Answer 53

ill open another window k?

Answer 54

this question il skip... ive no clue how to do it in simple way...