Answer:
x = -1.129i, -0.241i, 0.241i o 1.129i.
Tenga en cuenta que i = √(-1), i es el representante de un número complejo.
x = -1.129i, -0.241i, 0.241i or 1.129i.
Note that i = √(-1), i is the representative of a complex number.
Step-by-step explanation:
Pregunta correcta
¿Me pueden ayudar en esta ecuación biquadratica, por favor: 9x⁴ = —12x² - 6/9
Solución
9x⁴ = —12x² - 6/9
9x⁴ + 12x² + 6/9 = 0
multiplicar por 9
81x⁴ + 108x² + 6 = 0
Deje x² = y, entonces x⁴ = y²
81y² + 108y + 6 = 0
Resolviendo esta ecuación cuadrática
y = -0.0581 o y = -1.275
Recordemos, x² = y
x = ±√y
Si y = -0.0581
x = ± √(-0.0581) = ± 0.241i = 0.241i o -0.241i
Si y = -1.275
x = ± √(-1.275) = ± 1.129i = 1.129i o -1.129i
x = -1.129i, -0.241i, 0.241i o 1.129i.
Tenga en cuenta que i = √(-1), i es el representante de un número complejo.
¡¡¡Espero que esto ayude!!!
Correct Question
Can you help me in this biquadratic equation, please: 9x⁴ = —12x² — 6/9
Solution
9x⁴ = —12x² — 6/9
9x⁴ + 12x² + 6/9 = 0
multiply through by 9
81x⁴ + 108x² + 6 = 0
Let x² = y, then x⁴ = y²
81y² + 108y + 6 = 0
Solving this quadratic equation
y = -0.0581 or y = -1.275
Recall, x² = y
x = ±√y
If y = 0.0581
x = ±√(-0.0581) = ±0.241
If y = -1.275
x = ± √(-1.275) = ± 1.129i = 1.129i or -1.129i
Hence x = -1.129i, -0.241i, 0.241i or 1.129i.
Note that i = √(-1), i is the representative of a complex number.
Hope this Helps!!
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