Question

Solve: https://media.glynlyon.com/g_alg02_ccss_2013/7/t16.gif
{11}

{6, 11}

{}

Answer 1

What are {11}, {6,11} and {} ?

Answer 2

Answer options

Answer 3

Ohh

And what do you think ?

Answer 4

I think it's B but i'm not sure on this one.

Answer 5

Its B .

Answer 6

Thank you

Answer 7

{11}

Answer 8

See:

\[\large{\sqrt{x-2} = (x-8)}\]
\[\large{(x-2) = (x-8)^2}\]
\[\large{x-2 = x^2 - 16x + 64}\]
\[\large{x^2 - 17 x + 66 = 0}\]
\[\large{x^2 - 6x - 11x + 66 = 0}\]
\[\large{x(x-6) - 11(x-6) = 0}\]
\[\large{(x-11)(x-6) = 0}\]

Answer 9

Thus, (x-11) = 0 or (x-6) = 0.

So, x = 6 or 11.

Answer 10

Due to squaring 6 is picked up. But actually 6 does not satisfy the equation.

Answer 11

Yeah sorry .

Answer 12

Only {11} satisfies.

Answer 13

Thank y'all