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Chapter 9: Q5. (page 600)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Solve the quadratic equation below by graphing.

x2鈭�2x鈭�15=0

A 鈭�1,4

B -3,5

C 3,-5

D蠒

Short Answer

Expert verified

The solution of the given quadratic equationx2鈭�2x鈭�15=0are -3and 5. Therefore, option B is correct.

Step by step solution

01

Step 1. Draw the graph of the quadratic function y=x2−2x−15.

The graph of the quadratic functiony=x2鈭�2x鈭�15 is:

02

Step 2. Determine the solution of the given quadratic equation x2−2x−15=0.

From the graph of the quadratic function y=x2鈭�2x鈭�15, it can be noticed that the graph of the quadratic function y=x2鈭�2x鈭�15is intersecting the x-axis at(-3,0) and localid="1647683740825" 5,0.

That implies the solution of the quadratic equation x2鈭�2x鈭�15=0are localid="1647683940785" 鈭�3and 5.

Therefore, option B is correct.

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