What are the solutions to the equation 3a^5-a^2=120 ?

The solutions to the equation 3a^5-a^2=120 are a\approx 2.10652…

Find the zeros of 3a^5-a^2=120

The zeros of 3a^5-a^2=120 are a\approx 2.10652…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 a^{5} - a^{2} = 120

a \approx 2.10652 \dots

Solution steps

3 a^{5} - a^{2} = 120

Move

120

to the left side

3 a^{5} - a^{2} - 120 = 0

Find one solution for

3 a^{5} - a^{2} - 120 = 0

using Newton-Raphson:

a \approx 2.10652 \dots

Apply long division:

\frac{3 a ^{5} - a ^{2} - 120}{a - 2.10652 \dots} = 3 a^{4} + 6.31956 \dots a^{3} + 13.31230 \dots a^{2} + 27.04265 \dots a + 56.96594 \dots

3 a^{4} + 6.31956 \dots a^{3} + 13.31230 \dots a^{2} + 27.04265 \dots a + 56.96594 \dots \approx 0

Find one solution for

3 a^{4} + 6.31956 \dots a^{3} + 13.31230 \dots a^{2} + 27.04265 \dots a + 56.96594 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx 2.10652 \dots

2 x^{3} = - 98 x

2 x^{3} - 16 x^{2} + 30 x = 0

3 x^{8} - 4 x^{3} = 4

x^{3} + 12 x^{2} + 36 x = 0

x^{4} - 13 x^{2} = - 36

What are the solutions to the equation 3a^5-a^2=120 ?
The solutions to the equation 3a^5-a^2=120 are a\approx 2.10652…
Find the zeros of 3a^5-a^2=120
The zeros of 3a^5-a^2=120 are a\approx 2.10652…