Question

factorizar 4x^4+25x^2 +36=0

Answer 1

Respuesta:

x = ± 2i

x = ± 3/2(i)

Explicación:

4x⁴ + 25x² + 36 = 0

u = x²

4u² + 25u + 36 = 0

(4u + 16)(4u + 9)/4 = 0

4(u + 4)(4u + 9) / 4 = 0

(u + 4)(4u + 9) = 0

u + 4 = 0

u = -4

x² = -4

x = ± 2i

4u + 9 = 0

4u = -9

u = -9/4

x² = -9/4

x = ± 3/2(i)