What are the solutions to the equation x^3-10x-5=0 ?

The solutions to the equation x^3-10x-5=0 are x\approx-0.51354…,x\approx-2.87407…,x\approx 3.38761…

Find the zeros of x^3-10x-5=0

The zeros of x^3-10x-5=0 are x\approx-0.51354…,x\approx-2.87407…,x\approx 3.38761…

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x^{3} - 10 x - 5 = 0

x \approx - 0.51354 \dots, x \approx - 2.87407 \dots, x \approx 3.38761 \dots

Solution steps

x^{3} - 10 x - 5 = 0

Find one solution for

x^{3} - 10 x - 5 = 0

using Newton-Raphson:

x \approx - 0.51354 \dots

Apply long division:

\frac{x ^{3} - 10 x - 5}{x + 0.51354 \dots} = x^{2} - 0.51354 \dots x - 9.73627 \dots

x^{2} - 0.51354 \dots x - 9.73627 \dots \approx 0

Find one solution for

x^{2} - 0.51354 \dots x - 9.73627 \dots = 0

using Newton-Raphson:

x \approx - 2.87407 \dots

Apply long division:

\frac{x ^{2} - 0.51354 \dots x - 9.73627 \dots}{x + 2.87407 \dots} = x - 3.38761 \dots

x - 3.38761 \dots \approx 0

x \approx 3.38761 \dots

The solutions are

x \approx - 0.51354 \dots, x \approx - 2.87407 \dots, x \approx 3.38761 \dots

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z^{3} + 27 = 0

- x^{3} + 8 x^{2} + 3 x - 86 = 0

- 7 = t^{7}

x^{3} - 14 x^{2} + 45 x = 0

What are the solutions to the equation x^3-10x-5=0 ?
The solutions to the equation x^3-10x-5=0 are x\approx-0.51354…,x\approx-2.87407…,x\approx 3.38761…
Find the zeros of x^3-10x-5=0
The zeros of x^3-10x-5=0 are x\approx-0.51354…,x\approx-2.87407…,x\approx 3.38761…