What are the solutions to the equation x^5-16x+9=0 ?

The solutions to the equation x^5-16x+9=0 are x\approx 0.56613…,x\approx 1.82386…,x\approx-2.12113…

Find the zeros of x^5-16x+9=0

The zeros of x^5-16x+9=0 are x\approx 0.56613…,x\approx 1.82386…,x\approx-2.12113…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{5} - 16 x + 9 = 0

x \approx 0.56613 \dots, x \approx 1.82386 \dots, x \approx - 2.12113 \dots

Solution steps

x^{5} - 16 x + 9 = 0

Find one solution for

x^{5} - 16 x + 9 = 0

using Newton-Raphson:

x \approx 0.56613 \dots

Apply long division:

\frac{x ^{5} - 16 x + 9}{x - 0.56613 \dots} = x^{4} + 0.56613 \dots x^{3} + 0.32050 \dots x^{2} + 0.18145 \dots x - 15.89727 \dots

x^{4} + 0.56613 \dots x^{3} + 0.32050 \dots x^{2} + 0.18145 \dots x - 15.89727 \dots \approx 0

Find one solution for

x^{4} + 0.56613 \dots x^{3} + 0.32050 \dots x^{2} + 0.18145 \dots x - 15.89727 \dots = 0

using Newton-Raphson:

x \approx 1.82386 \dots

Apply long division:

\frac{x ^{4} + 0.56613 \dots x ^{3} + 0.32050 \dots x ^{2} + 0.18145 \dots x - 15.89727 \dots}{x - 1.82386 \dots} = x^{3} + 2.38999 \dots x^{2} + 4.67953 \dots x + 8.71627 \dots

x^{3} + 2.38999 \dots x^{2} + 4.67953 \dots x + 8.71627 \dots \approx 0

Find one solution for

x^{3} + 2.38999 \dots x^{2} + 4.67953 \dots x + 8.71627 \dots = 0

using Newton-Raphson:

x \approx - 2.12113 \dots

Apply long division:

\frac{x ^{3} + 2.38999 \dots x ^{2} + 4.67953 \dots x + 8.71627 \dots}{x + 2.12113 \dots} = x^{2} + 0.26885 \dots x + 4.10924 \dots

x^{2} + 0.26885 \dots x + 4.10924 \dots \approx 0

Find one solution for

x^{2} + 0.26885 \dots x + 4.10924 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.56613 \dots, x \approx 1.82386 \dots, x \approx - 2.12113 \dots

x^{3} - 16 x = 0

x^{3} - 14 x - x^{2} + 24 = 0

2 x^{4} - 15 x^{3} + 32 x^{2} - 30 x + 56 = 0

x^{3} - 4 x^{2} - 11 x - 6 = 0

What are the solutions to the equation x^5-16x+9=0 ?
The solutions to the equation x^5-16x+9=0 are x\approx 0.56613…,x\approx 1.82386…,x\approx-2.12113…
Find the zeros of x^5-16x+9=0
The zeros of x^5-16x+9=0 are x\approx 0.56613…,x\approx 1.82386…,x\approx-2.12113…