Question

square root of x + 2 end root + 4 = x

Answer 1

like this ?
\(\sqrt{x+2}+4=x\)
then subtract 4 from both sides, what u get ?

Answer 2

only after you have subtracted 4 from both sides, you can square both sides
and viola! square roots gets eliminated :)

Answer 3

but what about the x? I have to get x by itself ! :(

Answer 4

do you subtract 4 from both sides...?

Answer 5

yeaah so after I subtracted, I got

squareroot of x + 2 = x-4

Answer 6

now square both sides..

Answer 7

x + 2 = x^2 - 8x + 16 ?

Answer 8

get all the terms in one side and try to factor it..

Answer 9

0 = x^2 - 9x +14

Answer 10

now factor it

Answer 11

uhmmm, how do I factor this ?

Answer 12

find 2 numbers which adds to -9 and multiplied to 14

Answer 13

oooh waaait ! (x-7) (x-2)

Answer 14

well done...
now....(x-7)(x-2)=0
so (x-7)=0 and (x-2)=0
so you will get x=7 and 2

Answer 15

there's more to this problem
it has only one solution

Answer 16

oooh why ?

Answer 17

plug in x=7 and x=2 in your original equation
and find out by yourself :)

Answer 18

oooh so the answers just x=7 ! right ?

Answer 19

what do you get for left side when x= 2 ?

Answer 20

correct! just x= 7 :)

Answer 21

thank you both !

Answer 22

welcome dear :)