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: Hence no extraneous solution

### Complete step by step solution:

Here we have the equation

On squaring both the sides, we have

On subtracting x and 2 on both the sides, we get

On squaring both the sides, we get

Now, this is a quadratic equation with a = 9, b = 14, c = 5

Roots can be found with,

On solving, we get

Here, on substituting in given equation we get

Hence x = - 1 works.

Now,

Here also works.

Hence no extraneous solution

On squaring both the sides, we have

On subtracting x and 2 on both the sides, we get

On squaring both the sides, we get

Now, this is a quadratic equation with a = 9, b = 14, c = 5

Roots can be found with,

On solving, we get

Here, on substituting in given equation we get

Hence x = - 1 works.

Now,

Here also works.

Hence no extraneous solution

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