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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.9, Problem 4E

a.

To determine

**To calculate: **The equation

Expert Solution

The solution of the equation

**Given information:**

The equation

**Formula used:**

To the help of middle term factorisation method.

Steps to use this method to solve a quadratic polynomial

Step 1. Multiply the coefficient of

Step 2. Now to get the coefficient of

Step 3. Now we have 4 terms now, take common from 1^{s}^{t} two terms and take common from another two common and from there two factors were come.

Step 3. Take either one bracket is equal to zero or another is equal to zero.

Step 4. Now the value of

**Calculation:**

The graph of the equation

So find the roots of the equation

Rewrite the equation:

Rearrange the equation in a polynomial form and take ‘-’ common from the equation:

Further simplify the equation:

Now to take common:

Either

Simplify further as:

The solution of the equation

b.

To determine

**To calculate**: The solution of the equations

Expert Solution

The solution of the inequality

**Given information**:

The inequality

**Formula used**:

To the help of middle term factorisation method.

Steps to use this method to solve a quadratic polynomial

Step 1. Multiply the coefficient of

Step 2. Now to get the coefficient of

Step 3. Now we have 4 terms now, take common from 1^{s}^{t} two terms and take common from another two common and from there two factors were come.

Step 3. Take either one bracket is equal to zero or another is equal to zero.

Step 4. Now the value of

**Calculation: **

The inequality

So find the roots of the inequality

Rewrite the inequality:

Rearrange the equation in a polynomial form and take ‘-’ common from the equation:

Further simplify the equation:

Now to take common:

Either

Simplify further as:

Thus, the solution of the inequality