Solve for all possible values of x. square root of the quantity x plus 6 end quantity plus 5 equals 17

Step-by-step explanation:

So we have the equation:

First, let's determine the domain restrictions. Recall that the radicand cannot be negative. In other words, it must be greater than or positive than 0. Thus:

Subtract 6 from both sides:

What this means is that our solutions must be greater than or equal to -6. If not, we ignore them.

So, let's subtract 5 from both sides from the original equation:

Square both sides:

Subtract 6 from both sides:

138 is greater than -6, so 138 is a solution and is the only solution.

And we're done!

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.