Chapter 10: Q 10.34 (page 1171)

Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$q^{2} - \frac{2}{3} q$ .

Short Answer

Expert verified

The result is ${(q - \frac{1}{3})}^{2}$ .

Step by step solution

Given Information.

The Given expression is $q^{2} - \frac{2}{3} q$ .

Identify b the coefficient of term having power one.

$q^{2} - \frac{2}{3} q$

The coefficient of $q$ is $- \frac{2}{3}$ .

So, $b = - \frac{2}{3}$ .

Find 12b2.

Substitute $b = - \frac{2}{3}$ .

$= {(\frac{1}{2} \times \frac{- 2}{3})}^{2} = {(\frac{- 1}{3})}^{2} = \frac{1}{9}$

Add 19 to binomial expression to complete the square.

$q^{2} - \frac{2}{3} q + \frac{1}{9}$ .

Rewrite as a binomial square.

$= {(q - \frac{1}{3})}^{2}$

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$q^{2} - \frac{2}{3} q$ .

Short Answer

Step by step solution

Given Information.

Identify b the coefficient of term having power one.

Find 12b2.

Add 19 to binomial expression to complete the square.

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.q2-23q.

Short Answer

Step by step solution

Given Information.

Identify b the coefficient of term having power one.

Find 12b2.

Add 19 to binomial expression to complete the square.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$q^{2} - \frac{2}{3} q$ .