What are the solutions to the equation x^3-3x-1.8=0 ?

The solutions to the equation x^3-3x-1.8=0 are x\approx-1.24814…,x\approx-0.72929…,x\approx 1.97743…

Find the zeros of x^3-3x-1.8=0

The zeros of x^3-3x-1.8=0 are x\approx-1.24814…,x\approx-0.72929…,x\approx 1.97743…

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x^{3} - 3 x - 1.8 = 0

x \approx - 1.24814 \dots, x \approx - 0.72929 \dots, x \approx 1.97743 \dots

Solution steps

x^{3} - 3 x - 1.8 = 0

Multiply both sides by

10

10 x^{3} - 30 x - 18 = 0

Find one solution for

10 x^{3} - 30 x - 18 = 0

using Newton-Raphson:

x \approx - 1.24814 \dots

Apply long division:

\frac{10 x ^{3} - 30 x - 18}{x + 1.24814 \dots} = 10 x^{2} - 12.48140 \dots x - 14.42145 \dots

10 x^{2} - 12.48140 \dots x - 14.42145 \dots \approx 0

Find one solution for

10 x^{2} - 12.48140 \dots x - 14.42145 \dots = 0

using Newton-Raphson:

x \approx - 0.72929 \dots

Apply long division:

\frac{10 x ^{2} - 12.48140 \dots x - 14.42145 \dots}{x + 0.72929 \dots} = 10 x - 19.77439 \dots

10 x - 19.77439 \dots \approx 0

x \approx 1.97743 \dots

The solutions are

x \approx - 1.24814 \dots, x \approx - 0.72929 \dots, x \approx 1.97743 \dots

b^{3} - 36 b = 0

x^{3} = 2 x - 3

x^{3} = 2 x + 4

x^{3} + 3 x^{2} - 4 x + 5 = 0

799675 = 524442 (1 + x)^{10}

What are the solutions to the equation x^3-3x-1.8=0 ?
The solutions to the equation x^3-3x-1.8=0 are x\approx-1.24814…,x\approx-0.72929…,x\approx 1.97743…
Find the zeros of x^3-3x-1.8=0
The zeros of x^3-3x-1.8=0 are x\approx-1.24814…,x\approx-0.72929…,x\approx 1.97743…