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

The solutions to the equation -a^3-a^2-a=3 are a\approx-1.57474…

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

The zeros of -a^3-a^2-a=3 are a\approx-1.57474…

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

a \approx - 1.57474 \dots

Solution steps

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

Move

3

to the left side

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

Find one solution for

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

using Newton-Raphson:

a \approx - 1.57474 \dots

Apply long division:

\frac{- a ^{3} - a ^{2} - a - 3}{a + 1.57474 \dots} = - a^{2} + 0.57474 \dots a - 1.90507 \dots

- a^{2} + 0.57474 \dots a - 1.90507 \dots \approx 0

Find one solution for

- a^{2} + 0.57474 \dots a - 1.90507 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx - 1.57474 \dots

(2 x + 1)^{4} = 81

x^{3} - 5 x^{2} = 36 x

81 = a^{4}

a, 55 \cdot a^{3} = 22 \cdot b^{3}

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

What are the solutions to the equation -a^3-a^2-a=3 ?
The solutions to the equation -a^3-a^2-a=3 are a\approx-1.57474…
Find the zeros of -a^3-a^2-a=3
The zeros of -a^3-a^2-a=3 are a\approx-1.57474…