What are the solutions to the equation t^6-t^2=0 ?

The solutions to the equation t^6-t^2=0 are t=0,t=i,t=-i,t=1,t=-1

Find the zeros of t^6-t^2=0

The zeros of t^6-t^2=0 are t=0,t=i,t=-i,t=1,t=-1

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t^{6} - t^{2} = 0

t = 0, t = i, t = - i, t = 1, t = - 1

Solution steps

t^{6} - t^{2} = 0

Rewrite the equation with

u = t^{2}

and

u^{3} = t^{6}

u^{3} - u = 0

Solve

u^{3} - u = 0 : u = 0, u = - 1, u = 1

u = 0, u = - 1, u = 1

Substitute back

u = t^{2},

solve for

t

Solve

t^{2} = 0 : t = 0

Solve

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

Solve

t^{2} = 1 : t = 1, t = - 1

The solutions are

t = 0, t = i, t = - i, t = 1, t = - 1

2 x^{3} + 3 x^{2} + 50 x + 75 = 0

x^{4} - x^{2} - 18 = 0

1.44 = 0.34 t^{3}

x^{6} = 2 \cdot x^{3}

\frac{0.75 + 2.3}{2} x^{5} = 9.5

What are the solutions to the equation t^6-t^2=0 ?
The solutions to the equation t^6-t^2=0 are t=0,t=i,t=-i,t=1,t=-1
Find the zeros of t^6-t^2=0
The zeros of t^6-t^2=0 are t=0,t=i,t=-i,t=1,t=-1