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Chapter 9: Q. 2 (page 567)

To complete the square of $x^{2} + 6 x$ , add _____

Short Answer

Expert verified

$9$

Step by step solution

01

Step 1. Given information

We are given with the expression $x^{2} + 6 x$ ,

We have to complete the square of this expression.

02

Step 2. Complete the square

To form $x^{2} + b x + c$ from $x^{2} + b x$

Divide the coefficient of $x$ by $2$ ,

Thus,

$c = \frac{6}{2} = 3$

Square the result,

$c = 3^{2} = 9$

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