What are the solutions to the equation 418.879=6t+0.11667t^3 ?

The solutions to the equation 418.879=6t+0.11667t^3 are t\approx 14.19502…

Find the zeros of 418.879=6t+0.11667t^3

The zeros of 418.879=6t+0.11667t^3 are t\approx 14.19502…

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418.879 = 6 t + 0.11667 t^{3}

t \approx 14.19502 \dots

Solution steps

418.879 = 6 t + 0.11667 t^{3}

Switch sides

6 t + 0.11667 t^{3} = 418.879

Move

418.879

to the left side

6 t + 0.11667 t^{3} - 418.879 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

0.11667 t^{3} + 6 t - 418.879 = 0

Find one solution for

0.11667 t^{3} + 6 t - 418.879 = 0

using Newton-Raphson:

t \approx 14.19502 \dots

Apply long division:

\frac{0.11667 t ^{3} + 6 t - 418.879}{t - 14.19502 \dots} = 0.11667 t^{2} + 1.65613 \dots t + 29.50885 \dots

0.11667 t^{2} + 1.65613 \dots t + 29.50885 \dots \approx 0

Find one solution for

0.11667 t^{2} + 1.65613 \dots t + 29.50885 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solution is

t \approx 14.19502 \dots

4 x^{4} = 2048 x

x^{4} - 145 x^{2} + 144 = 0

x^{4} - 6 x^{3} + x^{2} - 6 x + 1 = 0

- x^{3} + 5 x^{2} = 0

3 x^{3} = 9

What are the solutions to the equation 418.879=6t+0.11667t^3 ?
The solutions to the equation 418.879=6t+0.11667t^3 are t\approx 14.19502…
Find the zeros of 418.879=6t+0.11667t^3
The zeros of 418.879=6t+0.11667t^3 are t\approx 14.19502…