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Caso.
Factor común.
x⁴ + x² = 0 Sacas factor común x²
x²(x² + 1) = 0
x² = 0
x = √0
x = 0
o
x² + 1 = 0
x² = - 1
x = +/-√-1 Pero √- 1 = i
x = +/- i
Solucion.
(0 , i . - i)
Primero sacamos el factor comun: x
x²(x²₊1)=0
Ahora:
x₁: x²=0 x₂: x²₊1=0
x=0 x=√-1
Se sabe que √-1 es i
Rpta: x₁: x²=0 y x₂=i