Question

# Find the extraneous solution of

Hint:

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

## The correct answer is: ⇒ x = -1

**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 = -8, c = -9

Roots can be found with,

On solving, we get x = 9, -1

Here, on substituting x = 9 or -1 in given equation we get

Hence x = 9 works.

Now,

Hence x = -1 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 = -8, c = -9

Roots can be found with,

On solving, we get x = 9, -1

Here, on substituting x = 9 or -1 in given equation we get

Hence x = 9 works.

Now,

Hence x = -1 is an extraneous solution.

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