What are the solutions to the equation x^4-28x^3+288x^2-1116x+1296=0 ?

The solutions to the equation x^4-28x^3+288x^2-1116x+1296=0 are x\approx 2.03034…,x\approx 4.74181…

Find the zeros of x^4-28x^3+288x^2-1116x+1296=0

The zeros of x^4-28x^3+288x^2-1116x+1296=0 are x\approx 2.03034…,x\approx 4.74181…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 28 x^{3} + 288 x^{2} - 1116 x + 1296 = 0

x \approx 2.03034 \dots, x \approx 4.74181 \dots

Solution steps

x^{4} - 28 x^{3} + 288 x^{2} - 1116 x + 1296 = 0

Find one solution for

x^{4} - 28 x^{3} + 288 x^{2} - 1116 x + 1296 = 0

using Newton-Raphson:

x \approx 2.03034 \dots

Apply long division:

\frac{x ^{4} - 28 x ^{3} + 288 x ^{2} - 1116 x + 1296}{x - 2.03034 \dots} = x^{3} - 25.96965 \dots x^{2} + 235.27267 \dots x - 638.31567 \dots

x^{3} - 25.96965 \dots x^{2} + 235.27267 \dots x - 638.31567 \dots \approx 0

Find one solution for

x^{3} - 25.96965 \dots x^{2} + 235.27267 \dots x - 638.31567 \dots = 0

using Newton-Raphson:

x \approx 4.74181 \dots

Apply long division:

\frac{x ^{3} - 25.96965 \dots x ^{2} + 235.27267 \dots x - 638.31567 \dots}{x - 4.74181 \dots} = x^{2} - 21.22783 \dots x + 134.61414 \dots

x^{2} - 21.22783 \dots x + 134.61414 \dots \approx 0

Find one solution for

x^{2} - 21.22783 \dots x + 134.61414 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 2.03034 \dots, x \approx 4.74181 \dots

5 x^{4} + 1 = 0

2 x^{3} - 3 x^{2} - 12 x + 3 = 0

x^{3} - 2 x^{2} + 16

x^{3} + 6 x^{2} + 12 x + 7 = 0

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

What are the solutions to the equation x^4-28x^3+288x^2-1116x+1296=0 ?
The solutions to the equation x^4-28x^3+288x^2-1116x+1296=0 are x\approx 2.03034…,x\approx 4.74181…
Find the zeros of x^4-28x^3+288x^2-1116x+1296=0
The zeros of x^4-28x^3+288x^2-1116x+1296=0 are x\approx 2.03034…,x\approx 4.74181…