Solve for all values of x: sqrt (x)-5=sqrt (x+6) Answer Attempt 1 out of 2 (4) Additional Solution No Solution z=

Question

Answer 1

To solve the equation

, we can start by isolating one of the square roots.First, let's isolate

by adding 5 to both sides of the equation:

Next, we can square both sides of the equation to eliminate the square roots:

Simplifying the equation, we get:

Now, let's isolate the square root term:

Simplifying further, we have:

Now, let's isolate the square root term again:

Simplifying, we get:

Now, let's isolate the square root term one more time:

Simplifying, we have:

Now, let's square both sides of the equation again to eliminate the square root:

Simplifying, we get:

Now, let's simplify the equation further:

Rearranging the terms, we have:

This is a quadratic equation, which can be solved using the quadratic formula:

In this case,

,

, and

. Plugging these values into the quadratic formula, we get:

Simplifying, we have:

Therefore, the solutions for

are:

So, the correct answer is (A) Additional Solution (-) No Solution.

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