What are the solutions to the equation t^3-2t=4 ?

The solutions to the equation t^3-2t=4 are t=2,t=-1+i,t=-1-i

Find the zeros of t^3-2t=4

The zeros of t^3-2t=4 are t=2,t=-1+i,t=-1-i

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t^{3} - 2 t = 4

t = 2, t = - 1 + i, t = - 1 - i

Solution steps

t^{3} - 2 t = 4

Move

4

to the left side

t^{3} - 2 t - 4 = 0

Factor

t^{3} - 2 t - 4 : (t - 2) (t^{2} + 2 t + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

t - 2 = 0 : t = 2

Solve

t^{2} + 2 t + 2 = 0 : t = - 1 + i, t = - 1 - i

The solutions are

t = 2, t = - 1 + i, t = - 1 - i

2 x^{3} - 5 = 0

5 x^{3} - 125 x = 0

x^{4} + 5 x^{3} - 7 x^{2} - 8 x - 12 = 0

2 x^{3} + x^{2} - 7 x - 6 = 0

x, y = 2 x^{3}

What are the solutions to the equation t^3-2t=4 ?
The solutions to the equation t^3-2t=4 are t=2,t=-1+i,t=-1-i
Find the zeros of t^3-2t=4
The zeros of t^3-2t=4 are t=2,t=-1+i,t=-1-i