Chapter 10: Q 261 (page 1236)

Solve the equation by completing square method. $3 p^{2} - 18 p + 15 = 15$

Short Answer

Expert verified

The required results is $p = 6, 0$

Step by step solution

Given Information.

The Given equation is $3 p^{2} - 18 p + 15 = 15$

Step 2:To complete the square, we need the coefficient of p2 to be one. Divide both side by 3

$p^{2} - 6 p + 5 = 5$

Isolate the variable terms on one side and the constant terms on the other.The variable terms are on the left side.

$p^{2} - 6 p = 0$

The coefficient of localid="1657721809728" $p$ is localid="1657721814283" $- 6$

So ,localid="1657721819327" $b = - 6$

Find 12b2and add to the both sides of equation.

$= {(\frac{1}{2} (- 6))}^{2} = {(- 3)}^{2} = 9$

Add $9$ both side of the equation

$p^{2} - 6 p + 9 = 9$

Factor the perfect square trinomial as a binomial square

${(p - 3)}^{2} = 9$

Use square root property

$(p - 3) = \pm \sqrt{9} (p - 3) = \pm 3 p = \pm 3 + 3 p = 6, 0$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the equation by completing square method. $3 p^{2} - 18 p + 15 = 15$

Short Answer

Step by step solution

Given Information.

Step 2:To complete the square, we need the coefficient of p2 to be one. Divide both side by 3

Isolate the variable terms on one side and the constant terms on the other.The variable terms are on the left side.

Find 12b2and add to the both sides of equation.

Factor the perfect square trinomial as a binomial square

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Pure Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Solve the equation by completing square method.3p2-18p+15=15

Short Answer

Step by step solution

Given Information.

Step 2:To complete the square, we need the coefficient of p2 to be one. Divide both side by 3

Isolate the variable terms on one side and the constant terms on the other.The variable terms are on the left side.

Find 12b2and add to the both sides of equation.

Factor the perfect square trinomial as a binomial square

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Pure Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Solve the equation by completing square method. $3 p^{2} - 18 p + 15 = 15$