What are the solutions to the equation x^3+25.3x^2+219.5x+660.1=0 ?

The solutions to the equation x^3+25.3x^2+219.5x+660.1=0 are x\approx-9.58148…

Find the zeros of x^3+25.3x^2+219.5x+660.1=0

The zeros of x^3+25.3x^2+219.5x+660.1=0 are x\approx-9.58148…

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x^{3} + 25.3 x^{2} + 219.5 x + 660.1 = 0

x \approx - 9.58148 \dots

Solution steps

x^{3} + 25.3 x^{2} + 219.5 x + 660.1 = 0

Multiply both sides by

10

10 x^{3} + 253 x^{2} + 2195 x + 6601 = 0

Find one solution for

10 x^{3} + 253 x^{2} + 2195 x + 6601 = 0

using Newton-Raphson:

x \approx - 9.58148 \dots

Apply long division:

\frac{10 x ^{3} + 253 x ^{2} + 2195 x + 6601}{x + 9.58148 \dots} = 10 x^{2} + 157.18512 \dots x + 688.93266 \dots

10 x^{2} + 157.18512 \dots x + 688.93266 \dots \approx 0

Find one solution for

10 x^{2} + 157.18512 \dots x + 688.93266 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 9.58148 \dots

x^{5} - 50 = 0

10750 = 5000 \cdot (1 + x)^{6}

x^{10} = x

x^{4} + 16 = 10 x^{2}

4 x^{3} - 26 x = 0

What are the solutions to the equation x^3+25.3x^2+219.5x+660.1=0 ?
The solutions to the equation x^3+25.3x^2+219.5x+660.1=0 are x\approx-9.58148…
Find the zeros of x^3+25.3x^2+219.5x+660.1=0
The zeros of x^3+25.3x^2+219.5x+660.1=0 are x\approx-9.58148…