14-05-2022
Mathematics

contestada

solve the equation by completing the square. x²+6x-4=0

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Аноним Аноним

14-05-2022

Answer:

x = √13 - 3

x = -√13 - 3

Step-by-step explanation:

Given :

x² + 6x - 4 = 0

Solving :

x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
(x + 3)² - 13 = 0 [Group the square term together]
(x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
√(x + 3)² = √13 [Taking square root on both sides]
x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
x = ±√13 - 3

Solutions :

x = √13 - 3
x = -√13 - 3

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