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Chapter 9: Q19. (page 593)

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

x2+4x鈭�3=0

Short Answer

Expert verified

The roots of the equation x2+4x鈭�3=0 are x=鈭�4.6 and x=0.6.

Step by step solution

01

Step 1. Define the standard form of the quadratic function.

A quadratic function, which is written in the form, fx=ax2+bx+c, where, a鈮�0 is called the standard form of the quadratic function.

02

Step 2. Rewrite the equation x2+4x−3=0 in the form fx=ax2+bx+c. 

Write the equation x2+4x鈭�3=0 in standard form.

This equation is already in standard form.

Write the equation x2+4x鈭�3=0 in the form fx=ax2+bx+c.

fx=x2+4x鈭�3

03

Step 3. Plot the graph of the function fx=x2+4x−3.

The graph of the functionfx=x2+4x鈭�3 is shown below.

04

Step 4. Solve the equation x2+4x−3=0 from the graph of the function fx=x2+4x−3. 

Observe the graph of the function fx=x2+4x鈭�3.

The graph intersects the x-axis at the points near about x=鈭�4.6and x=0.6.

Therefore, the roots of the equation x2+4x鈭�3=0are x=鈭�4.6and x=0.6.

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Most popular questions from this chapter

Write an expression for the area of the rectangle below.

F10b5c5鈭�3bcG10b5c5鈭�15b2c3H2b5c5鈭�3b2c3J10b4c6鈭�15bc2

Find the next three terms in each geometric sequence.

3,9,27,.....

Use a table of values to graph each equation.

y=x+3

OPEN-ENDED Describe a real-world situation that involves a quadratic equation. Explain what the vertex represents.

Describe how the graph of the function fx=2x2is related to the graph fx=x2.
See all solutions

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