Question

5√(x-6) = -20

Answer 1

The answer is no solution. Why is it no solution? How would I go about this?

Answer 2

for the simple logical reason, the square root does not yield a negative number.....
to actually prove that, first square both sides,
find the value of x and then check whether it satisfies the original equation

Answer 3

So it is a rule?

Answer 4

rule or not,here you can prove that by getting the value of x and verifying..

Answer 5

So, I would divide by 5, square it, and then solve for x?

Answer 6

when you square it, you are attaching an extraneous solution

Answer 7

and yes, do that

Answer 8

\[\sqrt{x-6} = -4\]
\[x-6 = 4^{2}\]
\[x-6 = 16\]
x = 22

Answer 9

good!

Answer 10

Oh! I get it now! If I plug in this value for the original equation, it won't work.

Answer 11

exactly! :)

Answer 12

Thanks!

Answer 13

welcome ^_^