What are the solutions to the equation x^3-3x^2+3=0 ?

The solutions to the equation x^3-3x^2+3=0 are x\approx-0.87938…,x\approx 1.34729…,x\approx 2.53208…

Find the zeros of x^3-3x^2+3=0

The zeros of x^3-3x^2+3=0 are x\approx-0.87938…,x\approx 1.34729…,x\approx 2.53208…

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

x \approx - 0.87938 \dots, x \approx 1.34729 \dots, x \approx 2.53208 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.87938 \dots

Apply long division:

\frac{x ^{3} - 3 x ^{2} + 3}{x + 0.87938 \dots} = x^{2} - 3.87938 \dots x + 3.41147 \dots

x^{2} - 3.87938 \dots x + 3.41147 \dots \approx 0

Find one solution for

x^{2} - 3.87938 \dots x + 3.41147 \dots = 0

using Newton-Raphson:

x \approx 1.34729 \dots

Apply long division:

\frac{x ^{2} - 3.87938 \dots x + 3.41147 \dots}{x - 1.34729 \dots} = x - 2.53208 \dots

x - 2.53208 \dots \approx 0

x \approx 2.53208 \dots

The solutions are

x \approx - 0.87938 \dots, x \approx 1.34729 \dots, x \approx 2.53208 \dots

x^{3} + x - 10 = 0

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

m^{3} + 8 = 0

2 x^{3} + 3 x^{2} - 1 = 0

x^{3} + x + 1 = 11

What are the solutions to the equation x^3-3x^2+3=0 ?
The solutions to the equation x^3-3x^2+3=0 are x\approx-0.87938…,x\approx 1.34729…,x\approx 2.53208…
Find the zeros of x^3-3x^2+3=0
The zeros of x^3-3x^2+3=0 are x\approx-0.87938…,x\approx 1.34729…,x\approx 2.53208…