122k views
1 vote
Complete the square to solve 3x^2+12x=9

User Jclin
by
8.1k points

2 Answers

5 votes
The answer is 3(x+2)^2-21
User Shivani Garg
by
7.7k points
3 votes

Answer:

(x + 2)² = 7

Explanation:

We have to complete the square in the given equation

3x² + 12x = 9

3x² + 12x - 9 = 0

3[x² + 4x -3] = 0

3[x² + 2(2x) + 4 - 4 - 3] = 0

3[x² + 2(2x) + 4] - 3 × 7 = 0

3[x² + 2]² - 21 = 0

(x + 2)² =
(21)/(3) = 7

Therefore, the square form of the equation is (x + 2)² = 7

User Brandon Hill
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories