What are the solutions to the equation 3x^3-12x+2=0 ?

The solutions to the equation 3x^3-12x+2=0 are x\approx 0.16784…,x\approx 1.91078…,x\approx-2.07863…

Find the zeros of 3x^3-12x+2=0

The zeros of 3x^3-12x+2=0 are x\approx 0.16784…,x\approx 1.91078…,x\approx-2.07863…

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3 x^{3} - 12 x + 2 = 0

x \approx 0.16784 \dots, x \approx 1.91078 \dots, x \approx - 2.07863 \dots

Solution steps

3 x^{3} - 12 x + 2 = 0

Find one solution for

3 x^{3} - 12 x + 2 = 0

using Newton-Raphson:

x \approx 0.16784 \dots

Apply long division:

\frac{3 x ^{3} - 12 x + 2}{x - 0.16784 \dots} = 3 x^{2} + 0.50354 \dots x - 11.91548 \dots

3 x^{2} + 0.50354 \dots x - 11.91548 \dots \approx 0

Find one solution for

3 x^{2} + 0.50354 \dots x - 11.91548 \dots = 0

using Newton-Raphson:

x \approx 1.91078 \dots

Apply long division:

\frac{3 x ^{2} + 0.50354 \dots x - 11.91548 \dots}{x - 1.91078 \dots} = 3 x + 6.23590 \dots

3 x + 6.23590 \dots \approx 0

x \approx - 2.07863 \dots

The solutions are

x \approx 0.16784 \dots, x \approx 1.91078 \dots, x \approx - 2.07863 \dots

75 x - 25 = 3 x^{3} - x^{2}

2 x^{3} - x^{2} - 13 x - 6 = 0

x^{3} - x^{2} + 9 x - 9 = 0

x^{3} - 18 x^{2} + 80 x = 0

b, a = 4 b^{5} h

What are the solutions to the equation 3x^3-12x+2=0 ?
The solutions to the equation 3x^3-12x+2=0 are x\approx 0.16784…,x\approx 1.91078…,x\approx-2.07863…
Find the zeros of 3x^3-12x+2=0
The zeros of 3x^3-12x+2=0 are x\approx 0.16784…,x\approx 1.91078…,x\approx-2.07863…