# The solution of the equation x 2 − 4 x = 2 x + 7 graphically.

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 1, Problem 95RE
To determine

## To calculate: The solution of the equation x2−4x=2x+7 graphically.

Expert Solution

The solution of the equation x24x=2x+7 are x=1 and x=7 .

### Explanation of Solution

Given information:

The equation is x24x=2x+7

Calculation:

Consider the equation x24x=2x+7 .

Divide the above equation in two parts.

Follow the steps provided below to estimate the solution of the equation,

Step 1: Press Y= key, enter the function Y1=X24X .

Step 2: Enter the function Y2=2X+7 .

Step 3: Press the TRACE key. Also press the WINDOW key and change settings to,

Xmin=10Xmax=10Ymin=10Ymax=30

Step 4: Press 2nd key and then TRACE key.

Step 5: Choose the 5th option that is the intersect feature.

Step 6: Press ENTER key to select both the functions.

Step 7: Guess the intersect point and press ENTER key.

The result obtained on screen is provided below,

The graphs intersect at (1,5) .

Step 8: Press 2nd key and then TRACE key.

Step 9: Choose the 5th option that is the intersect feature.

Step 10: Press ENTER key to select both the functions.

Step 11: Guess the intersect point and press ENTER key.

The result obtained on screen is provided below,

The graphs intersect at (7,21) .

There are two points of intersection that depict the solution of the equation.

Thus, the solution of the equation x24x=2x+7 are x=1 and x=7 .

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