What are the solutions to the equation 5+3x^2-0.5x^3=0 ?

The solutions to the equation 5+3x^2-0.5x^3=0 are x\approx 6.25554…

Find the zeros of 5+3x^2-0.5x^3=0

The zeros of 5+3x^2-0.5x^3=0 are x\approx 6.25554…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 + 3 x^{2} - 0.5 x^{3} = 0

x \approx 6.25554 \dots

Solution steps

5 + 3 x^{2} - 0.5 x^{3} = 0

Multiply both sides by

10

50 + 30 x^{2} - 5 x^{3} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 5 x^{3} + 30 x^{2} + 50 = 0

Find one solution for

- 5 x^{3} + 30 x^{2} + 50 = 0

using Newton-Raphson:

x \approx 6.25554 \dots

Apply long division:

\frac{- 5 x ^{3} + 30 x ^{2} + 50}{x - 6.25554 \dots} = - 5 x^{2} - 1.27773 \dots x - 7.99290 \dots

- 5 x^{2} - 1.27773 \dots x - 7.99290 \dots \approx 0

Find one solution for

- 5 x^{2} - 1.27773 \dots x - 7.99290 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 6.25554 \dots

18 = 30 - r^{30}

4 x^{3} - 31 = 1

(x - 1)^{2} (x - 3) = 0

27 = r^{3}

28 x^{3} + 16 x^{2} - 80 x = 0

What are the solutions to the equation 5+3x^2-0.5x^3=0 ?
The solutions to the equation 5+3x^2-0.5x^3=0 are x\approx 6.25554…
Find the zeros of 5+3x^2-0.5x^3=0
The zeros of 5+3x^2-0.5x^3=0 are x\approx 6.25554…