What are the solutions to the equation 4(x^2+9)^2=0.24x ?

The solutions to the equation 4(x^2+9)^2=0.24x are No Solution for x\in\mathbb{R}

Find the zeros of 4(x^2+9)^2=0.24x

The zeros of 4(x^2+9)^2=0.24x are No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 (x^{2} + 9)^{2} = 0.24 x

No Solution for x \in R

Solution steps

4 (x^{2} + 9)^{2} = 0.24 x

Multiply both sides by

100

400 (x^{2} + 9)^{2} = 24 x

Expand

400 (x^{2} + 9)^{2} : 400 x^{4} + 7200 x^{2} + 32400

400 x^{4} + 7200 x^{2} + 32400 = 24 x

Move

24 x

to the left side

400 x^{4} + 7200 x^{2} + 32400 - 24 x = 0

Write in the standard form

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

400 x^{4} + 7200 x^{2} - 24 x + 32400 = 0

Find one solution for

400 x^{4} + 7200 x^{2} - 24 x + 32400 = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

No Solution for x \in R

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

x^{4} + 7 x^{2} - 18 = 0

7 x = x^{6} + 5 (3 x + 3) - x

x^{3} - 2 x = 1

R, T^{2} = R^{3}

What are the solutions to the equation 4(x^2+9)^2=0.24x ?
The solutions to the equation 4(x^2+9)^2=0.24x are No Solution for x\in\mathbb{R}
Find the zeros of 4(x^2+9)^2=0.24x
The zeros of 4(x^2+9)^2=0.24x are No Solution for x\in\mathbb{R}