What are the solutions to the equation 4x^3+42x^2+240x+800=0 ?

The solutions to the equation 4x^3+42x^2+240x+800=0 are x\approx-6.04721…

Find the zeros of 4x^3+42x^2+240x+800=0

The zeros of 4x^3+42x^2+240x+800=0 are x\approx-6.04721…

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4 x^{3} + 42 x^{2} + 240 x + 800 = 0

x \approx - 6.04721 \dots

Solution steps

4 x^{3} + 42 x^{2} + 240 x + 800 = 0

Find one solution for

4 x^{3} + 42 x^{2} + 240 x + 800 = 0

using Newton-Raphson:

x \approx - 6.04721 \dots

Apply long division:

\frac{4 x ^{3} + 42 x ^{2} + 240 x + 800}{x + 6.04721 \dots} = 4 x^{2} + 17.81112 \dots x + 132.29222 \dots

4 x^{2} + 17.81112 \dots x + 132.29222 \dots \approx 0

Find one solution for

4 x^{2} + 17.81112 \dots x + 132.29222 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 6.04721 \dots

x^{(4)} - 29 x^{(2)} + 100 = 0

- 2 x^{3} - 4 x^{2} + 10 x + 12 = 0

x, x^{4} - 11 x^{2} + 10 = 0

y^{3} + y^{2} = 25 y + 25

x^{4} + 24 x^{2} + 9 = 0

What are the solutions to the equation 4x^3+42x^2+240x+800=0 ?
The solutions to the equation 4x^3+42x^2+240x+800=0 are x\approx-6.04721…
Find the zeros of 4x^3+42x^2+240x+800=0
The zeros of 4x^3+42x^2+240x+800=0 are x\approx-6.04721…