Question

Solve 5√x−6=−20. WITH STEPS PLEASE IM CONFUSED. I know the answer is no solution, but why?

Answer 1

first add 6 to both sides. u get 5√x=−14, then u divide 5 on both sides, u the get √x=−14/5, now the square root of a negative value (-14/5 is negative) doesn't exist

Answer 2

the -6 is under the radical btw

Answer 3

oh wut

Answer 4

what then there's a solution...

Answer 5

like it's \[5\sqrt{x-6}=-20\]

Answer 6

5√x−6=−20 (try to isolate for x so take 5 to other side by dividing it on both sides)
√x−6=−20/5
√x−6=-4
(√x−6)^2=(−20)^2 (square both sides to get rid of square root)
x-6=400
x=406 (there is a solution)

Answer 7

I got 22 the first time, but apparently that's wrong

Answer 8

is this right?

Answer 9

I am so confused. I mean i guess it could be, but it wasn't an option. The right answer was apparently no solution

Answer 10

are you sure? doesn't make sense...that's the way i would do it

Answer 11

I don't understand how you did step three in your solution. why is it -20 on the right?

Answer 12

think he messed up...

Answer 13

Because that's the way that you stated the equation, with -20 on the right.. :P

Answer 14

Ok thanks, I guess he just messed it up. THANK YOU GUYS!!

Answer 15

divide by 5, square both sides, then solve for x

Answer 16

x = 10

Answer 17

@monkey220ms but you divided it by 5 to take the 5 off of the left side. which makes it -4

Answer 18

@11calcBC wouldn't you get 22??

Answer 19

Oh I see what your saying

5√x−6=−20
√x−6=−20/5
√x−6=-4
(√x−6)^2=(4)^2
x-6=16
x=22

This is what @rimshaa did but with the right numbers:) so it is 22

Answer 20

Ok thanks! I'm gonna close it now.

Answer 21

oh lol my bad and yes @monkey220ms has the right answer

Answer 22

lol mixed up the + and -