What are the solutions to the equation (a^2+2)(a)=60 ?

The solutions to the equation (a^2+2)(a)=60 are a\approx 3.74468…

Find the zeros of (a^2+2)(a)=60

The zeros of (a^2+2)(a)=60 are a\approx 3.74468…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(a^{2} + 2) (a) = 60

a \approx 3.74468 \dots

Solution steps

(a^{2} + 2) (a) = 60

Expand

(a^{2} + 2) (a) : a^{3} + 2 a

a^{3} + 2 a = 60

Move

60

to the left side

a^{3} + 2 a - 60 = 0

Find one solution for

a^{3} + 2 a - 60 = 0

using Newton-Raphson:

a \approx 3.74468 \dots

Apply long division:

\frac{a ^{3} + 2 a - 60}{a - 3.74468 \dots} = a^{2} + 3.74468 \dots a + 16.02269 \dots

a^{2} + 3.74468 \dots a + 16.02269 \dots \approx 0

Find one solution for

a^{2} + 3.74468 \dots a + 16.02269 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx 3.74468 \dots

1 - x - x^{3} = 0

- 2 x (x^{2} - 81) (x^{2} - 3) = 0

x^{4} + x^{3} = 0

x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) = 0

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

What are the solutions to the equation (a^2+2)(a)=60 ?
The solutions to the equation (a^2+2)(a)=60 are a\approx 3.74468…
Find the zeros of (a^2+2)(a)=60
The zeros of (a^2+2)(a)=60 are a\approx 3.74468…