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Chapter 1: Q. 31 (page 29)

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

x3+x2-4x-4=0

Short Answer

Expert verified

The required solutions are x1=-1,鈥�x2=-2,鈥�x3=2and the graph of the solution is given below:

Step by step solution

01

Step 1. Given information.

We have:

x3+x2-4x-4=0

02

Step 2. Solve the equation algebraically. 

The equation is x3+x2-4x-4=0.

Take the common out from the groups:

x2x-1-4x-1=0x2-4(x-1)=0x2-22x-1=0

Apply the difference of two squares formula: x2-y2=x+yx-y

role="math" localid="1645785489502" x+2x-2(x-1)=0x=-2,1,2

03

Step 3. Verify the solution using a graphing utility.       

The solution of the equation arex=-1,鈥�x=-2,鈥�x=2.
Draw the graph of the equation x3+x2-4x-4=0using the graphing utility:

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Most popular questions from this chapter

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Solve:

x2-4x-12=0

The area of a triangle whose base is band whose altitude is his A=_________.

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(-1,2);(-1,-2)
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