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

The solutions to the equation x^3-5x-3=0 are x\approx-0.65662…,x\approx-1.83424…,x\approx 2.49086…

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

The zeros of x^3-5x-3=0 are x\approx-0.65662…,x\approx-1.83424…,x\approx 2.49086…

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

x \approx - 0.65662 \dots, x \approx - 1.83424 \dots, x \approx 2.49086 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.65662 \dots

Apply long division:

\frac{x ^{3} - 5 x - 3}{x + 0.65662 \dots} = x^{2} - 0.65662 \dots x - 4.56884 \dots

x^{2} - 0.65662 \dots x - 4.56884 \dots \approx 0

Find one solution for

x^{2} - 0.65662 \dots x - 4.56884 \dots = 0

using Newton-Raphson:

x \approx - 1.83424 \dots

Apply long division:

\frac{x ^{2} - 0.65662 \dots x - 4.56884 \dots}{x + 1.83424 \dots} = x - 2.49086 \dots

x - 2.49086 \dots \approx 0

x \approx 2.49086 \dots

The solutions are

x \approx - 0.65662 \dots, x \approx - 1.83424 \dots, x \approx 2.49086 \dots

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

m^{4} + 1 = 0

x^{3} + 8 = 0

4 x^{4} - 9 x^{2} + 2 = 0

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

What are the solutions to the equation x^3-5x-3=0 ?
The solutions to the equation x^3-5x-3=0 are x\approx-0.65662…,x\approx-1.83424…,x\approx 2.49086…
Find the zeros of x^3-5x-3=0
The zeros of x^3-5x-3=0 are x\approx-0.65662…,x\approx-1.83424…,x\approx 2.49086…