What are the solutions to the equation 15x^3+14x^2-8x=9 ?

The solutions to the equation 15x^3+14x^2-8x=9 are x\approx 0.77028…

Find the zeros of 15x^3+14x^2-8x=9

The zeros of 15x^3+14x^2-8x=9 are x\approx 0.77028…

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15 x^{3} + 14 x^{2} - 8 x = 9

x \approx 0.77028 \dots

Solution steps

15 x^{3} + 14 x^{2} - 8 x = 9

Move

9

to the left side

15 x^{3} + 14 x^{2} - 8 x - 9 = 0

Find one solution for

15 x^{3} + 14 x^{2} - 8 x - 9 = 0

using Newton-Raphson:

x \approx 0.77028 \dots

Apply long division:

\frac{15 x ^{3} + 14 x ^{2} - 8 x - 9}{x - 0.77028 \dots} = 15 x^{2} + 25.55424 \dots x + 11.68401 \dots

15 x^{2} + 25.55424 \dots x + 11.68401 \dots \approx 0

Find one solution for

15 x^{2} + 25.55424 \dots x + 11.68401 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.77028 \dots

15 x^{3} + 14 x^{2} - 8 x = 0

x^{3} - 9 x + 5 = 0

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

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

x (x + 1) (x^{2} - 36) = 0

What are the solutions to the equation 15x^3+14x^2-8x=9 ?
The solutions to the equation 15x^3+14x^2-8x=9 are x\approx 0.77028…
Find the zeros of 15x^3+14x^2-8x=9
The zeros of 15x^3+14x^2-8x=9 are x\approx 0.77028…