Chapter 10: Q.2 (page 667)

To complete the square of $x^{2} + 5 x,$ add $__________$

Short Answer

Expert verified

To complete the square of $x^{2} + 5 x,$ add $\frac{25}{4}$

Step by step solution

Step 1. Aim of the problem

In this problem, we need to find the term to complete the square of $x^{2} + 5 x$

Step 2. Concept

Follow the below steps to find the missing term:

a. Divide the coefficient of $x$ by role="math" $2 .$

b. Square the answer obtained in Step a.

Step 3. Finding the missing term

To find the missing term, first divide the coefficeint of $x$ by role="math" $2 .$

The coefficient of $x$ is $5 .$ Hence divide $5$ by $2$ .

Now take the square of $\frac{5}{2}$ .

We have,

${\frac{5}{2}}^{2} = \frac{25}{4}$

Therefore, we must add the term $\frac{25}{4}$ to complete the square of $x^{2} + 5 x .$

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To complete the square of $x^{2} + 5 x,$ add $__________$

Short Answer

Step by step solution

Step 1. Aim of the problem

Step 2. Concept

Step 3. Finding the missing term

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To complete the square ofx2+5x,add__________

Short Answer

Step by step solution

Step 1. Aim of the problem

Step 2. Concept

Step 3. Finding the missing term

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Probability and Statistics

Calculus

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

To complete the square of $x^{2} + 5 x,$ add $__________$