What are the solutions to the equation x^4-6x^2+8x-1=0 ?

The solutions to the equation x^4-6x^2+8x-1=0 are x\approx 0.13956…,x\approx-2.96798…

Find the zeros of x^4-6x^2+8x-1=0

The zeros of x^4-6x^2+8x-1=0 are x\approx 0.13956…,x\approx-2.96798…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 6 x^{2} + 8 x - 1 = 0

x \approx 0.13956 \dots, x \approx - 2.96798 \dots

Solution steps

x^{4} - 6 x^{2} + 8 x - 1 = 0

Find one solution for

x^{4} - 6 x^{2} + 8 x - 1 = 0

using Newton-Raphson:

x \approx 0.13956 \dots

Apply long division:

\frac{x ^{4} - 6 x ^{2} + 8 x - 1}{x - 0.13956 \dots} = x^{3} + 0.13956 \dots x^{2} - 5.98052 \dots x + 7.16535 \dots

x^{3} + 0.13956 \dots x^{2} - 5.98052 \dots x + 7.16535 \dots \approx 0

Find one solution for

x^{3} + 0.13956 \dots x^{2} - 5.98052 \dots x + 7.16535 \dots = 0

using Newton-Raphson:

x \approx - 2.96798 \dots

Apply long division:

\frac{x ^{3} + 0.13956 \dots x ^{2} - 5.98052 \dots x + 7.16535 \dots}{x + 2.96798 \dots} = x^{2} - 2.82842 \dots x + 2.41421 \dots

x^{2} - 2.82842 \dots x + 2.41421 \dots \approx 0

Find one solution for

x^{2} - 2.82842 \dots x + 2.41421 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.13956 \dots, x \approx - 2.96798 \dots

a, (a - b)^{3} = 0

x^{3} - 30 x^{2} + 1 5^{3} = 0

x^{3} - 7 x^{2} + 6 x + 20 = 0

- 10 x^{4} + 6 = 0

- 4 s^{3} - 24 s^{2} - 72 s - 80 = 0

What are the solutions to the equation x^4-6x^2+8x-1=0 ?
The solutions to the equation x^4-6x^2+8x-1=0 are x\approx 0.13956…,x\approx-2.96798…
Find the zeros of x^4-6x^2+8x-1=0
The zeros of x^4-6x^2+8x-1=0 are x\approx 0.13956…,x\approx-2.96798…