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

The solutions to the equation 2a^3-3a^2+2a+1=0 are a\approx-0.31718…

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

The zeros of 2a^3-3a^2+2a+1=0 are a\approx-0.31718…

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

a \approx - 0.31718 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

a \approx - 0.31718 \dots

Apply long division:

\frac{2 a ^{3} - 3 a ^{2} + 2 a + 1}{a + 0.31718 \dots} = 2 a^{2} - 3.63436 \dots a + 3.15275 \dots

2 a^{2} - 3.63436 \dots a + 3.15275 \dots \approx 0

Find one solution for

2 a^{2} - 3.63436 \dots a + 3.15275 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx - 0.31718 \dots

2 x^{5} - 5 x^{4} + 10 x + 3 = 0

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

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

0 = x^{3} - x + 1

x, 1 f = (6 x^{2} + 7 x)^{4}

What are the solutions to the equation 2a^3-3a^2+2a+1=0 ?
The solutions to the equation 2a^3-3a^2+2a+1=0 are a\approx-0.31718…
Find the zeros of 2a^3-3a^2+2a+1=0
The zeros of 2a^3-3a^2+2a+1=0 are a\approx-0.31718…