What are the solutions to the equation -2x^4+3.8x^3-1=0 ?

The solutions to the equation -2x^4+3.8x^3-1=0 are x\approx 0.75971…,x\approx 1.81659…

Find the zeros of -2x^4+3.8x^3-1=0

The zeros of -2x^4+3.8x^3-1=0 are x\approx 0.75971…,x\approx 1.81659…

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- 2 x^{4} + 3.8 x^{3} - 1 = 0

x \approx 0.75971 \dots, x \approx 1.81659 \dots

Solution steps

- 2 x^{4} + 3.8 x^{3} - 1 = 0

Multiply both sides by

10

- 20 x^{4} + 38 x^{3} - 10 = 0

Find one solution for

- 20 x^{4} + 38 x^{3} - 10 = 0

using Newton-Raphson:

x \approx 0.75971 \dots

Apply long division:

\frac{- 20 x ^{4} + 38 x ^{3} - 10}{x - 0.75971 \dots} = - 20 x^{3} + 22.80563 \dots x^{2} + 17.32585 \dots x + 13.16277 \dots

- 20 x^{3} + 22.80563 \dots x^{2} + 17.32585 \dots x + 13.16277 \dots \approx 0

Find one solution for

- 20 x^{3} + 22.80563 \dots x^{2} + 17.32585 \dots x + 13.16277 \dots = 0

using Newton-Raphson:

x \approx 1.81659 \dots

Apply long division:

\frac{- 20 x ^{3} + 22.80563 \dots x ^{2} + 17.32585 \dots x + 13.16277 \dots}{x - 1.81659 \dots} = - 20 x^{2} - 13.52625 \dots x - 7.24585 \dots

- 20 x^{2} - 13.52625 \dots x - 7.24585 \dots \approx 0

Find one solution for

- 20 x^{2} - 13.52625 \dots x - 7.24585 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.75971 \dots, x \approx 1.81659 \dots

25 x^{4} - 34 x^{2} + 9 = 0

x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 1 = 0

5 x^{4} = 45 x^{2}

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

3 x^{3} + 16 = x^{2} + 48 x

What are the solutions to the equation -2x^4+3.8x^3-1=0 ?
The solutions to the equation -2x^4+3.8x^3-1=0 are x\approx 0.75971…,x\approx 1.81659…
Find the zeros of -2x^4+3.8x^3-1=0
The zeros of -2x^4+3.8x^3-1=0 are x\approx 0.75971…,x\approx 1.81659…