Question

# Find the extraneous solution of

Hint:

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

## The correct answer is: ⇒ x = -6

**Complete step by step solution:**

Here we have the equation

Now, on squaring both the sides, we get

On rearranging, we have

Now, this is a quadratic equation with a = 1, b = 2, c = -24

Roots can be found with,

On solving, we get x = -6,4

Here, on substituting x = -6 or 4 in given equation we get

Hence x = -6 does not work.

Now,

Hence x = 4 works.

Hence x = -6 is an extraneous solution.

Here we have the equation

Now, on squaring both the sides, we get

On rearranging, we have

Now, this is a quadratic equation with a = 1, b = 2, c = -24

Roots can be found with,

On solving, we get x = -6,4

Here, on substituting x = -6 or 4 in given equation we get

Hence x = -6 does not work.

Now,

Hence x = 4 works.

Hence x = -6 is an extraneous solution.

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