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Chapter 3: Q13. (page 179)

Solve each equation by graphing.

鈭�5x+35=0

Short Answer

Expert verified

The solution of equation 鈭�5x+35=0is x=7.

Step by step solution

01

Step 1. State the Concept of solving an equation by graphing.

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. Root of an equation can be calculated by graphing the related function. To write the related function for an equation, replace 0 with fx.

02

Step 2. Write the related function.

Since the equation is given to be 鈭�5x+35=0, therefore, its related function will be 鈭�5x+35=fx. To graph the function, make a table.

x

fx=鈭�5x+35

fx

(x,fx)

7

f7=鈭�57+35=0

0

7,0

5

f5=鈭�55+35=10

10

5,10

03

Step 3. Plot the function.

Graph the equation 鈭�5x+35=fxby plotting the values from the table and get:

The graph intersects the x-axis at 7. So, the solution is x=7.

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