17. Solve the equation. x-sqrt (16-6x)=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is square (Simplify your answer.Use a comma to separate answers as needed.) B. There is no solution.

Question

Answer 1

To solve the equation

, we need to isolate the square root term and then solve for

.First, let's rewrite the equation:

Add

to both sides to isolate the square root term:

Next, square both sides to eliminate the square root:

Rearrange the equation to standard quadratic form:

Now, we can solve this quadratic equation using the quadratic formula

, where

,

, and

.Calculate the discriminant:

Now, apply the quadratic formula:

This gives us two solutions:

We need to check these solutions in the original equation to ensure they are valid.For

:

This is a valid solution.For

:

This does not satisfy the original equation.Therefore, the only valid solution is

.So, the correct choice is:A. The solution set is

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