What are the solutions to the equation 2t^3-3t^2-12t-42=0 ?

The solutions to the equation 2t^3-3t^2-12t-42=0 are t\approx 4.15781…

Find the zeros of 2t^3-3t^2-12t-42=0

The zeros of 2t^3-3t^2-12t-42=0 are t\approx 4.15781…

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2 t^{3} - 3 t^{2} - 12 t - 42 = 0

t \approx 4.15781 \dots

Solution steps

2 t^{3} - 3 t^{2} - 12 t - 42 = 0

Find one solution for

2 t^{3} - 3 t^{2} - 12 t - 42 = 0

using Newton-Raphson:

t \approx 4.15781 \dots

Apply long division:

\frac{2 t ^{3} - 3 t ^{2} - 12 t - 42}{t - 4.15781 \dots} = 2 t^{2} + 5.31563 \dots t + 10.10145 \dots

2 t^{2} + 5.31563 \dots t + 10.10145 \dots \approx 0

Find one solution for

2 t^{2} + 5.31563 \dots t + 10.10145 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solution is

t \approx 4.15781 \dots

4 x^{3} - 24 x^{2} + 32 x = 0

x^{3} + 2022 x^{2} = 20222022

p^{3} = 27

4 x^{3} - x^{2} - 56 x + 14 = 0

(8 x - 7) (x^{2} - 5) = 0

What are the solutions to the equation 2t^3-3t^2-12t-42=0 ?
The solutions to the equation 2t^3-3t^2-12t-42=0 are t\approx 4.15781…
Find the zeros of 2t^3-3t^2-12t-42=0
The zeros of 2t^3-3t^2-12t-42=0 are t\approx 4.15781…