What are the solutions to the equation x^3-6x^2+8=0 ?

The solutions to the equation x^3-6x^2+8=0 are x\approx-1.06417…,x\approx 1.30540…,x\approx 5.75877…

Find the zeros of x^3-6x^2+8=0

The zeros of x^3-6x^2+8=0 are x\approx-1.06417…,x\approx 1.30540…,x\approx 5.75877…

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

x \approx - 1.06417 \dots, x \approx 1.30540 \dots, x \approx 5.75877 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.06417 \dots

Apply long division:

\frac{x ^{3} - 6 x ^{2} + 8}{x + 1.06417 \dots} = x^{2} - 7.06417 \dots x + 7.51754 \dots

x^{2} - 7.06417 \dots x + 7.51754 \dots \approx 0

Find one solution for

x^{2} - 7.06417 \dots x + 7.51754 \dots = 0

using Newton-Raphson:

x \approx 1.30540 \dots

Apply long division:

\frac{x ^{2} - 7.06417 \dots x + 7.51754 \dots}{x - 1.30540 \dots} = x - 5.75877 \dots

x - 5.75877 \dots \approx 0

x \approx 5.75877 \dots

The solutions are

x \approx - 1.06417 \dots, x \approx 1.30540 \dots, x \approx 5.75877 \dots

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

- x^{3} + 3 x + 2

45 y^{3} n^{2}

x^{3} = x^{2} - 7

5000 = 4000 (1 + x)^{3}

What are the solutions to the equation x^3-6x^2+8=0 ?
The solutions to the equation x^3-6x^2+8=0 are x\approx-1.06417…,x\approx 1.30540…,x\approx 5.75877…
Find the zeros of x^3-6x^2+8=0
The zeros of x^3-6x^2+8=0 are x\approx-1.06417…,x\approx 1.30540…,x\approx 5.75877…