What are the solutions to the equation x^3-3x^2+1=0 ?

The solutions to the equation x^3-3x^2+1=0 are x\approx-0.53208…,x\approx 0.65270…,x\approx 2.87938…

Find the zeros of x^3-3x^2+1=0

The zeros of x^3-3x^2+1=0 are x\approx-0.53208…,x\approx 0.65270…,x\approx 2.87938…

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

x \approx - 0.53208 \dots, x \approx 0.65270 \dots, x \approx 2.87938 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.53208 \dots

Apply long division:

\frac{x ^{3} - 3 x ^{2} + 1}{x + 0.53208 \dots} = x^{2} - 3.53208 \dots x + 1.87938 \dots

x^{2} - 3.53208 \dots x + 1.87938 \dots \approx 0

Find one solution for

x^{2} - 3.53208 \dots x + 1.87938 \dots = 0

using Newton-Raphson:

x \approx 0.65270 \dots

Apply long division:

\frac{x ^{2} - 3.53208 \dots x + 1.87938 \dots}{x - 0.65270 \dots} = x - 2.87938 \dots

x - 2.87938 \dots \approx 0

x \approx 2.87938 \dots

The solutions are

x \approx - 0.53208 \dots, x \approx 0.65270 \dots, x \approx 2.87938 \dots

x^{4} + a^{4} = 0

x^{3} + 6 x^{2} + 7 x - 8 = 0

m^{3} + 3 m^{2} - 4 = 0

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

x^{3} + 7 x^{2} - 6 = 0

What are the solutions to the equation x^3-3x^2+1=0 ?
The solutions to the equation x^3-3x^2+1=0 are x\approx-0.53208…,x\approx 0.65270…,x\approx 2.87938…
Find the zeros of x^3-3x^2+1=0
The zeros of x^3-3x^2+1=0 are x\approx-0.53208…,x\approx 0.65270…,x\approx 2.87938…