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Chapter 3: Q21. (page 202)

Find the root of each equation.

6x+3=0

Short Answer

Expert verified

The required root is represented by x=鈭�12.

Step by step solution

01

Step 1. Determine the method which can be used to determine the required root.

The equation that represents the value of x will represent the required root.

02

Step 2. Determine the value of x.

Perform subtraction of 3 from both sides of the provided equation.

6x+3鈭�3=鈭�36x=鈭�3

Perform division of 6 on both sides of the equation.

6x6=鈭�36x=鈭�12

03

Step 3. Write the conclusion.

The obtained equationx=鈭�12 is the required root.

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Most popular questions from this chapter

Write an equation in function notation for this relation.

Evaluatea鈭�bc鈭�d for each set of values.

a=鈭�3,b=0,c=3,d=鈭�1

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

The x-coordinate of the point at which the graph of an equation crosses the x-axis is an x-intercept.

Find the slope of the line that passes through each pair of points.

0,5,6,2

In this problem, you will explore x- and y- intercepts of graphs of linear equations.

a. If possible, use a straightedge to draw a line on a coordinate plane with each of the following characteristics.

b. For which characteristics were you able to create a line and for which characteristics were you unable to create a line? Explain.

c. What must be true of the x- and y- intercepts of a line?
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