Maths-

General

Easy

Question

# Solve the radical equation. Check for extraneous solutions

Hint:

### Rearrange the equation and then solve for x.

## The correct answer is: x = 4

### Complete step by step solution:

Here we have the equation

On rearranging, we have

On squaring, we have

Now, this is a quadratic equation with a = 1, b = -18, c = 56

Roots can be found with,

On solving, we get x = 14, 4

On substituting the value of x in the equation, we get

Hence x = 14 works.

Now, we have

Hence x = 4 does not work.

Hence x = 4 is an extraneous solution.

Now, this is a quadratic equation with a = 1, b = -18, c = 56

Roots can be found with,

On solving, we get x = 14, 4

On substituting the value of x in the equation, we get

Hence x = 14 works.

Now, we have

Hence x = 4 does not work.

Hence x = 4 is an extraneous solution.

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