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

The solutions to the equation x^3-7x+5=0 are x\approx 0.78281…,x\approx 2.16601…,x\approx-2.94882…

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

The zeros of x^3-7x+5=0 are x\approx 0.78281…,x\approx 2.16601…,x\approx-2.94882…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 7 x + 5 = 0

x \approx 0.78281 \dots, x \approx 2.16601 \dots, x \approx - 2.94882 \dots

Solution steps

x^{3} - 7 x + 5 = 0

Find one solution for

x^{3} - 7 x + 5 = 0

using Newton-Raphson:

x \approx 0.78281 \dots

Apply long division:

\frac{x ^{3} - 7 x + 5}{x - 0.78281 \dots} = x^{2} + 0.78281 \dots x - 6.38719 \dots

x^{2} + 0.78281 \dots x - 6.38719 \dots \approx 0

Find one solution for

x^{2} + 0.78281 \dots x - 6.38719 \dots = 0

using Newton-Raphson:

x \approx 2.16601 \dots

Apply long division:

\frac{x ^{2} + 0.78281 \dots x - 6.38719 \dots}{x - 2.16601 \dots} = x + 2.94882 \dots

x + 2.94882 \dots \approx 0

x \approx - 2.94882 \dots

The solutions are

x \approx 0.78281 \dots, x \approx 2.16601 \dots, x \approx - 2.94882 \dots

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

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

x^{5} - 4 x^{4} - 12 x^{3} = 0

x^{3} - 21 x - 90 = 0

x^{16} = 80000

What are the solutions to the equation x^3-7x+5=0 ?
The solutions to the equation x^3-7x+5=0 are x\approx 0.78281…,x\approx 2.16601…,x\approx-2.94882…
Find the zeros of x^3-7x+5=0
The zeros of x^3-7x+5=0 are x\approx 0.78281…,x\approx 2.16601…,x\approx-2.94882…