What are the solutions to the equation d^3+3d^2+8d-8=0 ?

The solutions to the equation d^3+3d^2+8d-8=0 are d\approx 0.74226…

Find the zeros of d^3+3d^2+8d-8=0

The zeros of d^3+3d^2+8d-8=0 are d\approx 0.74226…

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d^{3} + 3 d^{2} + 8 d - 8 = 0

d \approx 0.74226 \dots

Solution steps

d^{3} + 3 d^{2} + 8 d - 8 = 0

Find one solution for

d^{3} + 3 d^{2} + 8 d - 8 = 0

using Newton-Raphson:

d \approx 0.74226 \dots

Apply long division:

\frac{d ^{3} + 3 d ^{2} + 8 d - 8}{d - 0.74226 \dots} = d^{2} + 3.74226 \dots d + 10.77776 \dots

d^{2} + 3.74226 \dots d + 10.77776 \dots \approx 0

Find one solution for

d^{2} + 3.74226 \dots d + 10.77776 \dots = 0

using Newton-Raphson:

No Solution for

d \in R

The solution is

d \approx 0.74226 \dots

x^{3} + 3 x^{2} - 26 = 0

0.4 x - 2 \cdot 1 + 3 \cdot 5 = 0.7 x^{3}

(15 - x)^{3} = 64

5 = 40 x^{3}

(2 x + 1)^{3} - 15 = 110

What are the solutions to the equation d^3+3d^2+8d-8=0 ?
The solutions to the equation d^3+3d^2+8d-8=0 are d\approx 0.74226…
Find the zeros of d^3+3d^2+8d-8=0
The zeros of d^3+3d^2+8d-8=0 are d\approx 0.74226…