What are the solutions to the equation x^4+20x^3+228x^2+1384x+3020=0 ?

The solutions to the equation x^4+20x^3+228x^2+1384x+3020=0 are x\approx-4.48131…,x\approx-6.79490…

Find the zeros of x^4+20x^3+228x^2+1384x+3020=0

The zeros of x^4+20x^3+228x^2+1384x+3020=0 are x\approx-4.48131…,x\approx-6.79490…

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x^{4} + 20 x^{3} + 228 x^{2} + 1384 x + 3020 = 0

x \approx - 4.48131 \dots, x \approx - 6.79490 \dots

Solution steps

x^{4} + 20 x^{3} + 228 x^{2} + 1384 x + 3020 = 0

Find one solution for

x^{4} + 20 x^{3} + 228 x^{2} + 1384 x + 3020 = 0

using Newton-Raphson:

x \approx - 4.48131 \dots

Apply long division:

\frac{x ^{4} + 20 x ^{3} + 228 x ^{2} + 1384 x + 3020}{x + 4.48131 \dots} = x^{3} + 15.51868 \dots x^{2} + 158.45586 \dots x + 673.90910 \dots

x^{3} + 15.51868 \dots x^{2} + 158.45586 \dots x + 673.90910 \dots \approx 0

Find one solution for

x^{3} + 15.51868 \dots x^{2} + 158.45586 \dots x + 673.90910 \dots = 0

using Newton-Raphson:

x \approx - 6.79490 \dots

Apply long division:

\frac{x ^{3} + 15.51868 \dots x ^{2} + 158.45586 \dots x + 673.90910 \dots}{x + 6.79490 \dots} = x^{2} + 8.72378 \dots x + 99.17862 \dots

x^{2} + 8.72378 \dots x + 99.17862 \dots \approx 0

Find one solution for

x^{2} + 8.72378 \dots x + 99.17862 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 4.48131 \dots, x \approx - 6.79490 \dots

x^{6} - 16 x^{3} + 64 = 0

4 x^{3} - 30 x^{2} = 0

(x - 1.5)^{4} = 1 0^{- 8}

y + y^{3} = 0

- x^{4} - x^{3} + 7 x^{2} + x - 6 = 0

What are the solutions to the equation x^4+20x^3+228x^2+1384x+3020=0 ?
The solutions to the equation x^4+20x^3+228x^2+1384x+3020=0 are x\approx-4.48131…,x\approx-6.79490…
Find the zeros of x^4+20x^3+228x^2+1384x+3020=0
The zeros of x^4+20x^3+228x^2+1384x+3020=0 are x\approx-4.48131…,x\approx-6.79490…