What are the solutions to the equation 120t-0.4t^4+800=0 ?

The solutions to the equation 120t-0.4t^4+800=0 are t\approx-4.83899…,t\approx 8.16765…

Find the zeros of 120t-0.4t^4+800=0

The zeros of 120t-0.4t^4+800=0 are t\approx-4.83899…,t\approx 8.16765…

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120 t - 0.4 t^{4} + 800 = 0

t \approx - 4.83899 \dots, t \approx 8.16765 \dots

Solution steps

120 t - 0.4 t^{4} + 800 = 0

Multiply both sides by

10

1200 t - 4 t^{4} + 8000 = 0

Write in the standard form

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

- 4 t^{4} + 1200 t + 8000 = 0

Find one solution for

- 4 t^{4} + 1200 t + 8000 = 0

using Newton-Raphson:

t \approx - 4.83899 \dots

Apply long division:

\frac{- 4 t ^{4} + 1200 t + 8000}{t + 4.83899 \dots} = - 4 t^{3} + 19.35597 \dots t^{2} - 93.66340 \dots t + 1653.23656 \dots

- 4 t^{3} + 19.35597 \dots t^{2} - 93.66340 \dots t + 1653.23656 \dots \approx 0

Find one solution for

- 4 t^{3} + 19.35597 \dots t^{2} - 93.66340 \dots t + 1653.23656 \dots = 0

using Newton-Raphson:

t \approx 8.16765 \dots

Apply long division:

\frac{- 4 t ^{3} + 19.35597 \dots t ^{2} - 93.66340 \dots t + 1653.23656 \dots}{t - 8.16765 \dots} = - 4 t^{2} - 13.31463 \dots t - 202.41271 \dots

- 4 t^{2} - 13.31463 \dots t - 202.41271 \dots \approx 0

Find one solution for

- 4 t^{2} - 13.31463 \dots t - 202.41271 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solutions are

t \approx - 4.83899 \dots, t \approx 8.16765 \dots

x^{6} + x^{3} = 0

2 x^{3} + 3 x^{2} - 14 x - 15 = 0

x^{4} + 12 x^{2} + 36 = 0

2 x^{4} - 3 x^{3} + x - 10 = 0

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

What are the solutions to the equation 120t-0.4t^4+800=0 ?
The solutions to the equation 120t-0.4t^4+800=0 are t\approx-4.83899…,t\approx 8.16765…
Find the zeros of 120t-0.4t^4+800=0
The zeros of 120t-0.4t^4+800=0 are t\approx-4.83899…,t\approx 8.16765…