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

The solutions to the equation x^3-9x+9=0 are x\approx 1.18479…,x\approx 2.22668…,x\approx-3.41147…

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

The zeros of x^3-9x+9=0 are x\approx 1.18479…,x\approx 2.22668…,x\approx-3.41147…

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

x \approx 1.18479 \dots, x \approx 2.22668 \dots, x \approx - 3.41147 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.18479 \dots

Apply long division:

\frac{x ^{3} - 9 x + 9}{x - 1.18479 \dots} = x^{2} + 1.18479 \dots x - 7.59626 \dots

x^{2} + 1.18479 \dots x - 7.59626 \dots \approx 0

Find one solution for

x^{2} + 1.18479 \dots x - 7.59626 \dots = 0

using Newton-Raphson:

x \approx 2.22668 \dots

Apply long division:

\frac{x ^{2} + 1.18479 \dots x - 7.59626 \dots}{x - 2.22668 \dots} = x + 3.41147 \dots

x + 3.41147 \dots \approx 0

x \approx - 3.41147 \dots

The solutions are

x \approx 1.18479 \dots, x \approx 2.22668 \dots, x \approx - 3.41147 \dots

5 x^{3} - 2 x^{2} - 35 x + 14 = 0

22 - 1 w^{3} = - 7

x^{3} + 11 x + 28 = 0

x^{3} - 8 x - 5 = 0

3 x^{5} + 24 x^{3} + 48 x = 0

What are the solutions to the equation x^3-9x+9=0 ?
The solutions to the equation x^3-9x+9=0 are x\approx 1.18479…,x\approx 2.22668…,x\approx-3.41147…
Find the zeros of x^3-9x+9=0
The zeros of x^3-9x+9=0 are x\approx 1.18479…,x\approx 2.22668…,x\approx-3.41147…