What are the solutions to the equation -t^3+5t^2-3t-9=0 ?

The solutions to the equation -t^3+5t^2-3t-9=0 are t=-1,t=3

Find the zeros of -t^3+5t^2-3t-9=0

The zeros of -t^3+5t^2-3t-9=0 are t=-1,t=3

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- t^{3} + 5 t^{2} - 3 t - 9 = 0

t = - 1, t = 3

Solution steps

- t^{3} + 5 t^{2} - 3 t - 9 = 0

Factor

- t^{3} + 5 t^{2} - 3 t - 9 : - (t + 1) (t - 3)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t + 1 = 0 or t - 3 = 0

Solve

t + 1 = 0 : t = - 1

Solve

t - 3 = 0 : t = 3

The solutions are

t = - 1, t = 3

3 x^{3} - x^{2} + 48 x - 16 = 0

z^{3} = - 6 - 23 i

x (x^{2} - 36) (9 x^{2} - 4) = 0

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

4 x^{3} - 2 x^{2} - 4 x - 1 = 0

What are the solutions to the equation -t^3+5t^2-3t-9=0 ?
The solutions to the equation -t^3+5t^2-3t-9=0 are t=-1,t=3
Find the zeros of -t^3+5t^2-3t-9=0
The zeros of -t^3+5t^2-3t-9=0 are t=-1,t=3