What are the solutions to the equation x^3+1/2 x^2+x-3=0 ?

The solutions to the equation x^3+1/2 x^2+x-3=0 are x\approx 1.09369…

Find the zeros of x^3+1/2 x^2+x-3=0

The zeros of x^3+1/2 x^2+x-3=0 are x\approx 1.09369…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x \approx 1.09369 \dots

Solution steps

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

Multiply both sides by

2

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.09369 \dots

Apply long division:

\frac{2 x ^{3} + x ^{2} + 2 x - 6}{x - 1.09369 \dots} = 2 x^{2} + 3.18738 \dots x + 5.48601 \dots

2 x^{2} + 3.18738 \dots x + 5.48601 \dots \approx 0

Find one solution for

2 x^{2} + 3.18738 \dots x + 5.48601 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.09369 \dots

x x^{3} + 144 x^{2} = 4096

(x^{2} + 3) (x - 8) = 0

2 x^{3} + 3 x^{2} + 23 x - 12 = 0

4 (x^{4} + 1) = 5 x^{2}, x > 0

4 x^{4} - 221 x^{2} + 1225 = 0

What are the solutions to the equation x^3+1/2 x^2+x-3=0 ?
The solutions to the equation x^3+1/2 x^2+x-3=0 are x\approx 1.09369…
Find the zeros of x^3+1/2 x^2+x-3=0
The zeros of x^3+1/2 x^2+x-3=0 are x\approx 1.09369…