BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.9, Problem 75E
To determine

Comparing the algebraic and graphical methods for solving equations.

Expert Solution

Answer to Problem 75E

Both the method gives same result.

Explanation of Solution

Calculation:

By using algebric method solve the equation it gives exact answer and also the process is helps to understand the algebric structure of the equation.

In some equations it is impossible to issolate x , in this case graphical method is best to solve the equation.

Solve the equation by using graphical method gives a numerical approximation to answer.

It is also useful to us how the solution is related to other values of the variable.

For example, consider the equation 2x5=0 .

Solve the equation by using algebraic method first.

Now,

  2x5=02x=5+5=0+5    Add 5 on both sides    2x=5x=52        Divide by 2

Hence, the solution is x=52     

Solve this equation by using graphical method.

Move all terms to one side and set equal to y .

Sketch the graph to find the value of x where y=0 .

  2x5=02x5=y

Sketch the graph of 2x5=y :

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 75E

From the graph, observe that y=0 when x2.5 .

Hence, the solution is x2.5 .

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