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Popular >

t^3-5t^2+14t=0

Solución

t^{3} - 5 t^{2} + 14 t = 0

Solución

t = 0, t = \frac{5}{2} + i \frac{31}{2}, t = \frac{5}{2} - i \frac{31}{2}

Pasos de solución

t^{3} - 5 t^{2} + 14 t = 0

Factorizar

t^{3} - 5 t^{2} + 14 t : t (t^{2} - 5 t + 14)

t (t^{2} - 5 t + 14) = 0

Utilizando el teorema de factor cero: si

ab = 0

entonces

a = 0

o

b = 0

t = 0 or t^{2} - 5 t + 14 = 0

Resolver

t^{2} - 5 t + 14 = 0 : t = \frac{5}{2} + i \frac{31}{2}, t = \frac{5}{2} - i \frac{31}{2}

Las soluciones son

t = 0, t = \frac{5}{2} + i \frac{31}{2}, t = \frac{5}{2} - i \frac{31}{2}

Ejemplos populares

x^3-7x^2-25x+175=0

x^{3} - 7 x^{2} - 25 x + 175 = 0

(3 x^{8}) \cdot x^{4} = 3 x

y^{4} = 9

x^{7} = 128

- 60 x^{3} + 30 x = 0