Maths-

General

Easy

Question

# Neil said that – 3 and 6 are the solutions to . What error did Neil make?

Hint:

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

## The correct answer is: x = -3

**Complete step by step solution:**

Here we have the equation

On squaring both the sides, we have

On rearranging, we have

Now, this is a quadratic equation with a = 1, b = -3, c = -18

Roots can be found with,

On solving, we get x = 6, -3

Here, on substituting x = 6 or -3 in given equation we get

Hence x = 6 works.

Now,

Hence x = -3 is an extraneous solution.

The error is that, one of the solutions, x = -3 is an extraneous solution.

Here we have the equation

On squaring both the sides, we have

On rearranging, we have

Now, this is a quadratic equation with a = 1, b = -3, c = -18

Roots can be found with,

On solving, we get x = 6, -3

Here, on substituting x = 6 or -3 in given equation we get

Hence x = 6 works.

Now,

Hence x = -3 is an extraneous solution.

The error is that, one of the solutions, x = -3 is an extraneous solution.

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