Chapter 3: Q. 3 (page 155)

To complete the square of $x^{2} - 5 x$ , you add the number _______.

Short Answer

Expert verified

You need to add ${(\frac{- 5}{2})}^{2}$ or $\frac{25}{4}$ to complete the square.

Step by step solution

Step 1. Given information.

The given expression is:

$x^{2} - 5 x$

Step 2. Determine the required value.

If the coefficient of $x^{2}$ is 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 $x^{2}$ is 1 and the coefficient of $x$ is $- 5$ .

The square of one-half of the coefficient of $x$ is:

localid="1645801944886" ${(\frac{- 5}{2})}^{2} = \frac{25}{4}$ .

Step 3. Conclusion.

You need to add ${(\frac{- 5}{2})}^{2}$ or $\frac{25}{4}$ to complete the square.

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To complete the square of $x^{2} - 5 x$ , you add the number _______.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the required value.

Step 3. Conclusion.

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the required value.

Step 3. Conclusion.

One App. One Place for Learning.

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To complete the square of $x^{2} - 5 x$ , you add the number _______.