What are the solutions to the equation 4X+X^4+9X+18=12(X+2) ?

The solutions to the equation 4X+X^4+9X+18=12(X+2) are X\approx 1.45972…,X\approx-1.66384…

Find the zeros of 4X+X^4+9X+18=12(X+2)

The zeros of 4X+X^4+9X+18=12(X+2) are X\approx 1.45972…,X\approx-1.66384…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 X + X^{4} + 9 X + 18 = 12 (X + 2)

X \approx 1.45972 \dots, X \approx - 1.66384 \dots

Solution steps

4 X + X^{4} + 9 X + 18 = 12 (X + 2)

Expand

12 (X + 2) : 12 X + 24

X^{4} + 13 X + 18 = 12 X + 24

Move

24

to the left side

X^{4} + 13 X - 6 = 12 X

Move

12 X

to the left side

X^{4} + X - 6 = 0

Find one solution for

X^{4} + X - 6 = 0

using Newton-Raphson:

X \approx 1.45972 \dots

Apply long division:

\frac{X ^{4} + X - 6}{X - 1.45972 \dots} = X^{3} + 1.45972 \dots X^{2} + 2.13079 \dots X + 4.11036 \dots

X^{3} + 1.45972 \dots X^{2} + 2.13079 \dots X + 4.11036 \dots \approx 0

Find one solution for

X^{3} + 1.45972 \dots X^{2} + 2.13079 \dots X + 4.11036 \dots = 0

using Newton-Raphson:

X \approx - 1.66384 \dots

Apply long division:

\frac{X ^{3} + 1.45972 \dots X ^{2} + 2.13079 \dots X + 4.11036 \dots}{X + 1.66384 \dots} = X^{2} - 0.20411 \dots X + 2.47041 \dots

X^{2} - 0.20411 \dots X + 2.47041 \dots \approx 0

Find one solution for

X^{2} - 0.20411 \dots X + 2.47041 \dots = 0

using Newton-Raphson:

No Solution for

X \in R

The solutions are

X \approx 1.45972 \dots, X \approx - 1.66384 \dots

(1 + x)^{12} = 1.1

x^{3} + 5 x^{2} - 24 x = 0

x^{3} + 3 x^{2} + 2 x + 1.06 = 0

3 x^{4} - 5 x^{2} + 2 = 0

24 x^{3} - 303 x^{2} + 918 x - 331 = 0

What are the solutions to the equation 4X+X^4+9X+18=12(X+2) ?
The solutions to the equation 4X+X^4+9X+18=12(X+2) are X\approx 1.45972…,X\approx-1.66384…
Find the zeros of 4X+X^4+9X+18=12(X+2)
The zeros of 4X+X^4+9X+18=12(X+2) are X\approx 1.45972…,X\approx-1.66384…