What are the solutions to the equation x^3-9x-5=0 ?

The solutions to the equation x^3-9x-5=0 are x\approx-0.57688…,x\approx-2.66966…,x\approx 3.24655…

Find the zeros of x^3-9x-5=0

The zeros of x^3-9x-5=0 are x\approx-0.57688…,x\approx-2.66966…,x\approx 3.24655…

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x^{3} - 9 x - 5 = 0

x \approx - 0.57688 \dots, x \approx - 2.66966 \dots, x \approx 3.24655 \dots

Solution steps

x^{3} - 9 x - 5 = 0

Find one solution for

x^{3} - 9 x - 5 = 0

using Newton-Raphson:

x \approx - 0.57688 \dots

Apply long division:

\frac{x ^{3} - 9 x - 5}{x + 0.57688 \dots} = x^{2} - 0.57688 \dots x - 8.66720 \dots

x^{2} - 0.57688 \dots x - 8.66720 \dots \approx 0

Find one solution for

x^{2} - 0.57688 \dots x - 8.66720 \dots = 0

using Newton-Raphson:

x \approx - 2.66966 \dots

Apply long division:

\frac{x ^{2} - 0.57688 \dots x - 8.66720 \dots}{x + 2.66966 \dots} = x - 3.24655 \dots

x - 3.24655 \dots \approx 0

x \approx 3.24655 \dots

The solutions are

x \approx - 0.57688 \dots, x \approx - 2.66966 \dots, x \approx 3.24655 \dots

x^{3} - 7 x = 0

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

x (x - 3) (x - 1) (x + 2) = 16

(z + 3)^{4} = - 324

x, 3 (x - 3)^{4} = 15

What are the solutions to the equation x^3-9x-5=0 ?
The solutions to the equation x^3-9x-5=0 are x\approx-0.57688…,x\approx-2.66966…,x\approx 3.24655…
Find the zeros of x^3-9x-5=0
The zeros of x^3-9x-5=0 are x\approx-0.57688…,x\approx-2.66966…,x\approx 3.24655…