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sveticcg [70]
3 years ago
10

Complete the square to solve 3x^2+12x=9

Mathematics
2 answers:
Jet001 [13]3 years ago
8 0

Answer:

(x + 2)² = 7

Step-by-step 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 = \frac{21}{3} = 7

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

guapka [62]3 years ago
5 0
The answer is 3(x+2)^2-21
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