What are the solutions to the equation x^3-6x-3=0 ?

The solutions to the equation x^3-6x-3=0 are x\approx-0.52397…,x\approx-2.14510…,x\approx 2.66907…

Find the zeros of x^3-6x-3=0

The zeros of x^3-6x-3=0 are x\approx-0.52397…,x\approx-2.14510…,x\approx 2.66907…

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x^{3} - 6 x - 3 = 0

x \approx - 0.52397 \dots, x \approx - 2.14510 \dots, x \approx 2.66907 \dots

Solution steps

x^{3} - 6 x - 3 = 0

Find one solution for

x^{3} - 6 x - 3 = 0

using Newton-Raphson:

x \approx - 0.52397 \dots

Apply long division:

\frac{x ^{3} - 6 x - 3}{x + 0.52397 \dots} = x^{2} - 0.52397 \dots x - 5.72544 \dots

x^{2} - 0.52397 \dots x - 5.72544 \dots \approx 0

Find one solution for

x^{2} - 0.52397 \dots x - 5.72544 \dots = 0

using Newton-Raphson:

x \approx - 2.14510 \dots

Apply long division:

\frac{x ^{2} - 0.52397 \dots x - 5.72544 \dots}{x + 2.14510 \dots} = x - 2.66907 \dots

x - 2.66907 \dots \approx 0

x \approx 2.66907 \dots

The solutions are

x \approx - 0.52397 \dots, x \approx - 2.14510 \dots, x \approx 2.66907 \dots

3 x^{4} = 375 x

(x^{6})^{7} = (7.9)^{42}

3 x^{3} + 11 x^{2} + 6 x = 0

x^{3} + 4 x^{2} + 4 x + 16 = 0

x^{3} - 25 x^{2} = 0

What are the solutions to the equation x^3-6x-3=0 ?
The solutions to the equation x^3-6x-3=0 are x\approx-0.52397…,x\approx-2.14510…,x\approx 2.66907…
Find the zeros of x^3-6x-3=0
The zeros of x^3-6x-3=0 are x\approx-0.52397…,x\approx-2.14510…,x\approx 2.66907…