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Chapter 3: Q11. (page 179)

Find the root of each of each equation.

18+8x=0

Short Answer

Expert verified

The root of equation 18+8x=0is x=鈭�2.25.

Step by step solution

01

Step 1. State the concept of solving an equation.

A linear function is a function whose graph is a straight line. The solution or root of an equation is any value that makes the equation true. A linear equation has at most one root. Values of x for which f(x)=0are called roots of the function which is located at the x-intercept of the function.

02

Step 2. Rewrite the equation.

In order to solve the given equation 18+8x=0, for the unknown variable, isolate the variable term on one side by performing some basic algebraic operations to get rid of other numbers and terms associated with it.

Here to isolate x on left side, first subtract 18 from both sides.

18+8x=018+8x鈭�18=鈭�18

03

Step 3. Simplify further for x.

Simplify the equation and get,

18+8x鈭�18=鈭�188x=鈭�18x=鈭�188=鈭�2.25

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Most popular questions from this chapter

The distance d in kilometers that sound waves travel through water is given byd=1.6t, where t is the time in seconds.

  1. Make a table of values and graph the equation.
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Determine whether each equation is a linear equation. Write the equation in standard form.

y=x2鈭�4

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Suppose yvaries directly as x. Write a direct variation equation that relates x and y. Then solve.

Ify=4when x=-4, find y when x=7.

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

2,64,12
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