Question

Given the equation:

Answer 1

\[\sqrt{2x+1}=3\]
x = 4, solution is extraneous

x = 4, solution is not extraneous

x = 5, solution is extraneous

x = 5, solution is not extraneous

Answer 2

\[\sqrt{x-5}+7=11\]
x = 21, solution is extraneous

x = 21, solution is not extraneous

x = 81, solution is extraneous

x = 81, solution is not extraneous

Answer 3

\[-4\sqrt{x-3}=12\]
x = 0, solution is not extraneous

x = 0, solution is extraneous

x = 12, solution is not extraneous

x = 12, solution is extraneous

Answer 4

I think the first one is x = 4, solution is not extraneous

Answer 5

I think the second on is x = 81, solution is not extraneous

Answer 6

and I have no idea about the third one

Answer 7

so u need help with only the third one?

Answer 8

Yeah...But am I right about one and two?

Answer 9

@ganeshie8

Answer 10

@madrockz

Answer 11

I really need help

Answer 12

First question correct

Answer 13

Second question, INCORRECT>
check again

Answer 14

Yeah! So is it x = 81, solution is extraneous

Answer 15

how did u get x = 81 ?

Answer 16

Umm...I think I Square rooted 9

Answer 17

So I'm guessing its not 81

Answer 18

Second q :-

\(\sqrt{x-5}+7=11\)

put x = 21

see that it satisfies the equatio

Answer 19

thing inside sqrt becomes 21-5 = 16, so taking sqrt it becoems 4
4+7 = 11

Answer 20

so x = 21 is your solution, and its not extraneous. cuz it satisfied the given equaiton

Answer 21

Wow...I was way off lol. Thanks...Do you understand how to do the third one?

Answer 22

:)

Third question :-

\(-4\sqrt{x-3}=12 \)

divide both sides by -4

\( \sqrt{x-3}=3\)

square both sides

\( x-3 =9\)

\(x = ?\)

Answer 23

Would I add 3 then square...because if I just do 9 I get 81

Answer 24

add 3 both sides
and stop there.

Answer 25

oh so 12

Answer 26

x - 3 = 9
x = 12

Answer 27

yes,
put x = 12 in given equation, and see if it satisfies or not

Answer 28

tbh, i wont do that
cuz i see that sqrt can never become negative.
but the given equation requires sqrt to be negative.

so the solution x=12 in extraneous. it wont satisfy given equation

Answer 29

see if that makes some sense

Answer 30

Yes defiantly so x = 12, solution is not extraneous

Answer 31

Careful

Answer 32

solution IS extraneous

Answer 33

Oh wrong one....that's the part that keeps messing me up

Answer 34

x = 12, solution is extraneous

Answer 35

yes

Answer 36

IF the solution DOES NOT satisfy given equation, we call it EXTRANEOUS

Answer 37

Okay...I'll remember that! Thanks for helping! ^-^

Answer 38

np :)