What are the solutions to the equation x^4-5x^3-6x^2+7x-2=0 ?

The solutions to the equation x^4-5x^3-6x^2+7x-2=0 are x\approx-1.65038…,x\approx 5.83297…

Find the zeros of x^4-5x^3-6x^2+7x-2=0

The zeros of x^4-5x^3-6x^2+7x-2=0 are x\approx-1.65038…,x\approx 5.83297…

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x^{4} - 5 x^{3} - 6 x^{2} + 7 x - 2 = 0

x \approx - 1.65038 \dots, x \approx 5.83297 \dots

Solution steps

x^{4} - 5 x^{3} - 6 x^{2} + 7 x - 2 = 0

Find one solution for

x^{4} - 5 x^{3} - 6 x^{2} + 7 x - 2 = 0

using Newton-Raphson:

x \approx - 1.65038 \dots

Apply long division:

\frac{x ^{4} - 5 x ^{3} - 6 x ^{2} + 7 x - 2}{x + 1.65038 \dots} = x^{3} - 6.65038 \dots x^{2} + 4.97570 \dots x - 1.21183 \dots

x^{3} - 6.65038 \dots x^{2} + 4.97570 \dots x - 1.21183 \dots \approx 0

Find one solution for

x^{3} - 6.65038 \dots x^{2} + 4.97570 \dots x - 1.21183 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

x \approx 5.83297 \dots

The solutions are

x \approx - 1.65038 \dots, x \approx 5.83297 \dots

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

x^{3} + 8 x^{2} + 37 x + 50

(x - 4)^{4} = x^{4}

2.5 x^{4} + 3 x^{3} - 2.6 x^{2} - 5.1 x - 5.6 = 0

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

What are the solutions to the equation x^4-5x^3-6x^2+7x-2=0 ?
The solutions to the equation x^4-5x^3-6x^2+7x-2=0 are x\approx-1.65038…,x\approx 5.83297…
Find the zeros of x^4-5x^3-6x^2+7x-2=0
The zeros of x^4-5x^3-6x^2+7x-2=0 are x\approx-1.65038…,x\approx 5.83297…