What are the solutions to the equation c^3-15c+1=0 ?

The solutions to the equation c^3-15c+1=0 are c\approx 0.06668…,c\approx 3.83920…,c\approx-3.90589…

Find the zeros of c^3-15c+1=0

The zeros of c^3-15c+1=0 are c\approx 0.06668…,c\approx 3.83920…,c\approx-3.90589…

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c^{3} - 15 c + 1 = 0

c \approx 0.06668 \dots, c \approx 3.83920 \dots, c \approx - 3.90589 \dots

Solution steps

c^{3} - 15 c + 1 = 0

Find one solution for

c^{3} - 15 c + 1 = 0

using Newton-Raphson:

c \approx 0.06668 \dots

Apply long division:

\frac{c ^{3} - 15 c + 1}{c - 0.06668 \dots} = c^{2} + 0.06668 \dots c - 14.99555 \dots

c^{2} + 0.06668 \dots c - 14.99555 \dots \approx 0

Find one solution for

c^{2} + 0.06668 \dots c - 14.99555 \dots = 0

using Newton-Raphson:

c \approx 3.83920 \dots

Apply long division:

\frac{c ^{2} + 0.06668 \dots c - 14.99555 \dots}{c - 3.83920 \dots} = c + 3.90589 \dots

c + 3.90589 \dots \approx 0

c \approx - 3.90589 \dots

The solutions are

c \approx 0.06668 \dots, c \approx 3.83920 \dots, c \approx - 3.90589 \dots

2 x^{3} + 1 9^{2} + 49 x + 20 = 0

x^{6} + 6 x^{5} + 10 x^{4} = 0

x^{3} - 11 x - 20 = 0

x^{4} - 7 x^{3} + 19 x^{2} - 27 x + 18 = 0

4 x^{3} + 12 x^{2} - 4 x - 12 = 0

What are the solutions to the equation c^3-15c+1=0 ?
The solutions to the equation c^3-15c+1=0 are c\approx 0.06668…,c\approx 3.83920…,c\approx-3.90589…
Find the zeros of c^3-15c+1=0
The zeros of c^3-15c+1=0 are c\approx 0.06668…,c\approx 3.83920…,c\approx-3.90589…