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Brums [2.3K]
3 years ago
12

X+(2x+3)+4x²-9=0resoudre equation​

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

Désolé, mon français est terrible, je vais donc utiliser traduction automatique ici.

x est approximativement égal à 0.906 et  -1.656

Step-by-step explanation:

x + (2x + 3) + 4x² - 9 = 0

4x² + x + 2x + 3 - 9 = 0

4x² + 3x - 6 = 0

Nous ne pouvons pas prendre en compte cela, nous allons donc passer par la résolution de x à la place.

Commençons par compléter le carré:

4x² + 3x = 6

4x² + 3x + 9 / 16 = 6 + 9 / 16

(2x + 3/4)² = 96 / 16 + 9 / 16

(2x + 3/4)² = 105 / 16

2x + 3/4 = ± √105 / 4

2x = -3/4 ± √105 / 4

2x = (-3  ± √105) / 4

x =  (-3  ± √105) / 8

x ≈  0.906,  -1.656

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