What are the solutions to the equation 0=t^3-6t^2+9t+5 ?

The solutions to the equation 0=t^3-6t^2+9t+5 are t\approx-0.42598…

Find the zeros of 0=t^3-6t^2+9t+5

The zeros of 0=t^3-6t^2+9t+5 are t\approx-0.42598…

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0 = t^{3} - 6 t^{2} + 9 t + 5

t \approx - 0.42598 \dots

Solution steps

0 = t^{3} - 6 t^{2} + 9 t + 5

Switch sides

t^{3} - 6 t^{2} + 9 t + 5 = 0

Find one solution for

t^{3} - 6 t^{2} + 9 t + 5 = 0

using Newton-Raphson:

t \approx - 0.42598 \dots

Apply long division:

\frac{t ^{3} - 6 t ^{2} + 9 t + 5}{t + 0.42598 \dots} = t^{2} - 6.42598 \dots t + 11.73739 \dots

t^{2} - 6.42598 \dots t + 11.73739 \dots \approx 0

Find one solution for

t^{2} - 6.42598 \dots t + 11.73739 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solution is

t \approx - 0.42598 \dots

x^{3} - x^{2} + 1 = - 6

2 x^{4} - 16 x = 0

36 - 12 x - 4 x^{3} = 0

(x - 3)^{3} + 18 = 530

x + 4 = ((x^{2} - 4 x) - 2)^{2}

What are the solutions to the equation 0=t^3-6t^2+9t+5 ?
The solutions to the equation 0=t^3-6t^2+9t+5 are t\approx-0.42598…
Find the zeros of 0=t^3-6t^2+9t+5
The zeros of 0=t^3-6t^2+9t+5 are t\approx-0.42598…