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Chapter 3: Q. 3 (page 155)

To complete the square of x2-5x, you add the number _______.

Short Answer

Expert verified

You need to add -522or254 to complete the square.

Step by step solution

01

Step 1. Given information.

The given expression is:

x2-5x

02

Step 2. Determine the required value.

If the coefficient of x2is 1, then we complete the square by adding the square of one-half of the coefficient of x.

In the given expression, then the coefficient of x2is 1 and the coefficient of xis -5.

The square of one-half of the coefficient of xis:

localid="1645801944886" -522=254.

03

Step 3. Conclusion.

You need to add -522or254to complete the square.

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