Maths-

General

Easy

Question

# Solve the radical equation

Hint:

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

## The correct answer is: x = 6/49

**Complete step by step solution:**

Here we have the equation

On squaring both the sides, we have

On subtracting, 6x and 9 from both the sides, we get

On squaring both the sides, we get

Now, this is a quadratic equation with a = 49, b = -300, c = 36

Roots can be found with,

On solving, we get

Here, on substituting in given equation we get

Hence x = 6 works.

Now,

Here does not work.

Hence is an extraneous solution.

Here we have the equation

On squaring both the sides, we have

On subtracting, 6x and 9 from both the sides, we get

On squaring both the sides, we get

Now, this is a quadratic equation with a = 49, b = -300, c = 36

Roots can be found with,

On solving, we get

Here, on substituting in given equation we get

Hence x = 6 works.

Now,

Here does not work.

Hence is an extraneous solution.

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