What are the solutions to the equation 8X^3+10X^2-10=0 ?

The solutions to the equation 8X^3+10X^2-10=0 are X\approx 0.78394…

Find the zeros of 8X^3+10X^2-10=0

The zeros of 8X^3+10X^2-10=0 are X\approx 0.78394…

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8 X^{3} + 10 X^{2} - 10 = 0

X \approx 0.78394 \dots

Solution steps

8 X^{3} + 10 X^{2} - 10 = 0

Find one solution for

8 X^{3} + 10 X^{2} - 10 = 0

using Newton-Raphson:

X \approx 0.78394 \dots

Apply long division:

\frac{8 X ^{3} + 10 X ^{2} - 10}{X - 0.78394 \dots} = 8 X^{2} + 16.27155 \dots X + 12.75600 \dots

8 X^{2} + 16.27155 \dots X + 12.75600 \dots \approx 0

Find one solution for

8 X^{2} + 16.27155 \dots X + 12.75600 \dots = 0

using Newton-Raphson:

No Solution for

X \in R

The solution is

X \approx 0.78394 \dots

x^{3} + 5 x + \frac{55}{18} = 0

3 x^{2} (x + 1)^{2} - x (x + 1)^{3} = 0

49 t^{4} + 44 t^{2} - 5 = 0

12 x (x^{2} - 1)^{2} = 0

x^{4} = - 16 i

What are the solutions to the equation 8X^3+10X^2-10=0 ?
The solutions to the equation 8X^3+10X^2-10=0 are X\approx 0.78394…
Find the zeros of 8X^3+10X^2-10=0
The zeros of 8X^3+10X^2-10=0 are X\approx 0.78394…