What are the solutions to the equation 3x^3-14x-5=0 ?

The solutions to the equation 3x^3-14x-5=0 are x\approx-0.36780…,x\approx-1.95273…,x\approx 2.32053…

Find the zeros of 3x^3-14x-5=0

The zeros of 3x^3-14x-5=0 are x\approx-0.36780…,x\approx-1.95273…,x\approx 2.32053…

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3 x^{3} - 14 x - 5 = 0

x \approx - 0.36780 \dots, x \approx - 1.95273 \dots, x \approx 2.32053 \dots

Solution steps

3 x^{3} - 14 x - 5 = 0

Find one solution for

3 x^{3} - 14 x - 5 = 0

using Newton-Raphson:

x \approx - 0.36780 \dots

Apply long division:

\frac{3 x ^{3} - 14 x - 5}{x + 0.36780 \dots} = 3 x^{2} - 1.10341 \dots x - 13.59415 \dots

3 x^{2} - 1.10341 \dots x - 13.59415 \dots \approx 0

Find one solution for

3 x^{2} - 1.10341 \dots x - 13.59415 \dots = 0

using Newton-Raphson:

x \approx - 1.95273 \dots

Apply long division:

\frac{3 x ^{2} - 1.10341 \dots x - 13.59415 \dots}{x + 1.95273 \dots} = 3 x - 6.96161 \dots

3 x - 6.96161 \dots \approx 0

x \approx 2.32053 \dots

The solutions are

x \approx - 0.36780 \dots, x \approx - 1.95273 \dots, x \approx 2.32053 \dots

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

y^{(5)} - y^{(4)} = 0

x^{3} + \frac{1}{2} x^{2} + x - 3 = 0

x x^{3} + 144 x^{2} = 4096

(x^{2} + 3) (x - 8) = 0

What are the solutions to the equation 3x^3-14x-5=0 ?
The solutions to the equation 3x^3-14x-5=0 are x\approx-0.36780…,x\approx-1.95273…,x\approx 2.32053…
Find the zeros of 3x^3-14x-5=0
The zeros of 3x^3-14x-5=0 are x\approx-0.36780…,x\approx-1.95273…,x\approx 2.32053…