What are the solutions to the equation 3t^3-3t^2+4=0 ?

The solutions to the equation 3t^3-3t^2+4=0 are t\approx-0.84914…

Find the zeros of 3t^3-3t^2+4=0

The zeros of 3t^3-3t^2+4=0 are t\approx-0.84914…

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

t \approx - 0.84914 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

t \approx - 0.84914 \dots

Apply long division:

\frac{3 t ^{3} - 3 t ^{2} + 4}{t + 0.84914 \dots} = 3 t^{2} - 5.54744 \dots t + 4.71060 \dots

3 t^{2} - 5.54744 \dots t + 4.71060 \dots \approx 0

Find one solution for

3 t^{2} - 5.54744 \dots t + 4.71060 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solution is

t \approx - 0.84914 \dots

12 x^{3} + 8 x^{2} - x - 1 = 0

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

z^{4} - 16 = 0

x^{4} - 20 x^{2} + 64 = 0

2 x^{4} + 5 x^{3} + 4 = x^{2}

What are the solutions to the equation 3t^3-3t^2+4=0 ?
The solutions to the equation 3t^3-3t^2+4=0 are t\approx-0.84914…
Find the zeros of 3t^3-3t^2+4=0
The zeros of 3t^3-3t^2+4=0 are t\approx-0.84914…