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 35E
To determine

To calculate: The value of x from the equation x232=0 by algebraic method and graphical method.

Expert Solution

Answer to Problem 35E

The value of x is ±32 and Graph of the equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 35E , additional homework tip  1

Explanation of Solution

Given information:

The equation x232=0 .

Calculation:

It is provided that the equation x232=0 .

Algebraic method;

The method in which isolate x on one side of the equation and solve the value of x .

From the equation x232=0 ,

Add 32 on the both side of the equation x232=0

  x2=32

Solve the value of x from the equation,

  x2=32x=±32

Therefore, the value of x=±32 .

Graphical method;

The graph of the equation x=+32 provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 35E , additional homework tip  2

The graph of equation x=32 is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 35E , additional homework tip  3

The graph of both equations in same figure is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 35E , additional homework tip  4

The solution is the x coordinate of the intersection point of the two graphs. So, there is no intersection points on the x coordinate.

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