What are the solutions to the equation 3a^4+2a-46=54 ?

The solutions to the equation 3a^4+2a-46=54 are a\approx 2.37377…,a\approx-2.43150…

Find the zeros of 3a^4+2a-46=54

The zeros of 3a^4+2a-46=54 are a\approx 2.37377…,a\approx-2.43150…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 a^{4} + 2 a - 46 = 54

a \approx 2.37377 \dots, a \approx - 2.43150 \dots

Solution steps

3 a^{4} + 2 a - 46 = 54

Move

54

to the left side

3 a^{4} + 2 a - 100 = 0

Find one solution for

3 a^{4} + 2 a - 100 = 0

using Newton-Raphson:

a \approx 2.37377 \dots

Apply long division:

\frac{3 a ^{4} + 2 a - 100}{a - 2.37377 \dots} = 3 a^{3} + 7.12131 \dots a^{2} + 16.90435 \dots a + 42.12707 \dots

3 a^{3} + 7.12131 \dots a^{2} + 16.90435 \dots a + 42.12707 \dots \approx 0

Find one solution for

3 a^{3} + 7.12131 \dots a^{2} + 16.90435 \dots a + 42.12707 \dots = 0

using Newton-Raphson:

a \approx - 2.43150 \dots

Apply long division:

\frac{3 a ^{3} + 7.12131 \dots a ^{2} + 16.90435 \dots a + 42.12707 \dots}{a + 2.43150 \dots} = 3 a^{2} - 0.17320 \dots a + 17.32550 \dots

3 a^{2} - 0.17320 \dots a + 17.32550 \dots \approx 0

Find one solution for

3 a^{2} - 0.17320 \dots a + 17.32550 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solutions are

a \approx 2.37377 \dots, a \approx - 2.43150 \dots

- 2 x^{4} + 9 = 2 x - 1

- 2 x^{4} + 9 = 2 x - 3

x^{4} + x^{3} - 4 x^{2} + 2 x - 12 = 0

3 x^{3} - 3 x^{2} - 270 x = 0

a - 2 a^{5} = 3

What are the solutions to the equation 3a^4+2a-46=54 ?
The solutions to the equation 3a^4+2a-46=54 are a\approx 2.37377…,a\approx-2.43150…
Find the zeros of 3a^4+2a-46=54
The zeros of 3a^4+2a-46=54 are a\approx 2.37377…,a\approx-2.43150…