What are the solutions to the equation x^3+0.3x^2+0.3x+0.3=0 ?

The solutions to the equation x^3+0.3x^2+0.3x+0.3=0 are x\approx-0.61156…

Find the zeros of x^3+0.3x^2+0.3x+0.3=0

The zeros of x^3+0.3x^2+0.3x+0.3=0 are x\approx-0.61156…

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x^{3} + 0.3 x^{2} + 0.3 x + 0.3 = 0

x \approx - 0.61156 \dots

Solution steps

x^{3} + 0.3 x^{2} + 0.3 x + 0.3 = 0

Multiply both sides by

10

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.61156 \dots

Apply long division:

\frac{10 x ^{3} + 3 x ^{2} + 3 x + 3}{x + 0.61156 \dots} = 10 x^{2} - 3.11566 \dots x + 4.90543 \dots

10 x^{2} - 3.11566 \dots x + 4.90543 \dots \approx 0

Find one solution for

10 x^{2} - 3.11566 \dots x + 4.90543 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.61156 \dots

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

x^{8} - 2 x^{5} - 3 x^{2} = 0

x^{2} + 5 x - 81 = 5 x^{5} x

20 = [\frac{5 + ( 0.12 x )}{10}]^{20}

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

What are the solutions to the equation x^3+0.3x^2+0.3x+0.3=0 ?
The solutions to the equation x^3+0.3x^2+0.3x+0.3=0 are x\approx-0.61156…
Find the zeros of x^3+0.3x^2+0.3x+0.3=0
The zeros of x^3+0.3x^2+0.3x+0.3=0 are x\approx-0.61156…