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} - 2 x^{2} - 2 = 0

x = x^{4}

z^{6} = - 1

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

x^{3} + 2 x + 1 = 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…