What are the solutions to the equation t^3-t^2-t+1=0 ?

The solutions to the equation t^3-t^2-t+1=0 are t=1,t=-1

Find the zeros of t^3-t^2-t+1=0

The zeros of t^3-t^2-t+1=0 are t=1,t=-1

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t^{3} - t^{2} - t + 1 = 0

t = 1, t = - 1

Solution steps

t^{3} - t^{2} - t + 1 = 0

Factor

t^{3} - t^{2} - t + 1 : (t - 1)^{2} (t + 1)

(t - 1)^{2} (t + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t - 1 = 0 or t + 1 = 0

Solve

t - 1 = 0 : t = 1

Solve

t + 1 = 0 : t = - 1

The solutions are

t = 1, t = - 1

(k^{3} - 1)^{2} = 0

a^{8} = 3

y^{4} - 12 y^{2} + 32 = 0

x^{3} = x^{2} + 1

x, 0 = - 25 x^{4} + 9 x^{2}

What are the solutions to the equation t^3-t^2-t+1=0 ?
The solutions to the equation t^3-t^2-t+1=0 are t=1,t=-1
Find the zeros of t^3-t^2-t+1=0
The zeros of t^3-t^2-t+1=0 are t=1,t=-1