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Chapter 1: Q. 27 (page 29)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x2-3x-28=0

Short Answer

Expert verified

The required solution isx=-4,7 and the graph is shown below:

Step by step solution

01

Step 1. Given information. 

We have:

x2-3x-28=0

02

Step 2. Solve the equation algebraically.   

The equation is x2-3x-28=0.

For a quadratic equation of the form ax2+bx+c=0, the solutions are:

x1,鈥�2=-b卤b2-4ac2a

For a=1,鈥�b=-3,鈥�c=-28

x1,鈥�2=--3卤-32-4路鈥�1路-282路鈥�1x1,鈥�2=--3卤鈥�112路鈥�1x=-4,7

03

Step 3. Verify the solution using a graphing utility.   

The solution of the equation isx=-4,7.

Draw the graph of the equation x2-3x-28=0using the graphing utility:

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