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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.5, Problem 4E

(**a**)

To determine

**To isolate:** The radical in the equation

Expert Solution

The radical in the equation

Consider the given equation

The term involving the radical sign is on the left-hand side of the equation.

Therefore, subtract

Thus, the radical in the equation

(**b**)

To determine

**To square:** Both sides of the equation

Expert Solution

Both sides of the equation

Consider the equation **a**).

To solve this equation, the radical sign has to be eliminated.

Therefore, square both sides of the above equation.

Thus, both sides of the equation

(**c**)

To determine

The solutions of the equation

Expert Solution

The solutions of the equation

**Formula used:**

*Quadratic formula:*

The solution of a quadratic equation of the form

**Calculation:**

The equation **b**) can be rewritten as

Compare this equation with the general form

Here

Substitute 1 for *a*, *b* and *c* in the quadratic formula to find the solution.

Thus, the solutions of the equation

(**d**)

To determine

The solutions of the equation

Expert Solution

The solution of the equation

From part (**c**) the solutions of the equation

To check whether these solutions satisfy the original equation, substitute these values in the equation

Substitute 0 for *x* in

Substitute 2 for *x* in

The value

Thus, the solution of the equation