What are the solutions to the equation x^3-4x^2+2=0 ?

The solutions to the equation x^3-4x^2+2=0 are x\approx-0.65544…,x\approx 0.78924…,x\approx 3.86619…

Find the zeros of x^3-4x^2+2=0

The zeros of x^3-4x^2+2=0 are x\approx-0.65544…,x\approx 0.78924…,x\approx 3.86619…

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

x \approx - 0.65544 \dots, x \approx 0.78924 \dots, x \approx 3.86619 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.65544 \dots

Apply long division:

\frac{x ^{3} - 4 x ^{2} + 2}{x + 0.65544 \dots} = x^{2} - 4.65544 \dots x + 3.05137 \dots

x^{2} - 4.65544 \dots x + 3.05137 \dots \approx 0

Find one solution for

x^{2} - 4.65544 \dots x + 3.05137 \dots = 0

using Newton-Raphson:

x \approx 0.78924 \dots

Apply long division:

\frac{x ^{2} - 4.65544 \dots x + 3.05137 \dots}{x - 0.78924 \dots} = x - 3.86619 \dots

x - 3.86619 \dots \approx 0

x \approx 3.86619 \dots

The solutions are

x \approx - 0.65544 \dots, x \approx 0.78924 \dots, x \approx 3.86619 \dots

x^{3} - 2 x^{2} + 4 x + 10 = 0

x^{22} x - 24 = 0

x^{2} (x + 5) = 4 (x + 5)

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

(2 n) 3 n (6) = 3 n^{3} (7)

What are the solutions to the equation x^3-4x^2+2=0 ?
The solutions to the equation x^3-4x^2+2=0 are x\approx-0.65544…,x\approx 0.78924…,x\approx 3.86619…
Find the zeros of x^3-4x^2+2=0
The zeros of x^3-4x^2+2=0 are x\approx-0.65544…,x\approx 0.78924…,x\approx 3.86619…