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

The solutions to the equation a^3-3a-3=0 are a\approx 2.10380…

Find the zeros of a^3-3a-3=0

The zeros of a^3-3a-3=0 are a\approx 2.10380…

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a^{3} - 3 a - 3 = 0

a \approx 2.10380 \dots

Solution steps

a^{3} - 3 a - 3 = 0

Find one solution for

a^{3} - 3 a - 3 = 0

using Newton-Raphson:

a \approx 2.10380 \dots

Apply long division:

\frac{a ^{3} - 3 a - 3}{a - 2.10380 \dots} = a^{2} + 2.10380 \dots a + 1.42598 \dots

a^{2} + 2.10380 \dots a + 1.42598 \dots \approx 0

Find one solution for

a^{2} + 2.10380 \dots a + 1.42598 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx 2.10380 \dots

5^{2} x - 3 - 2 (x^{5})^{2} = 5^{2} x^{3}

y^{8} = 1

a^{3} = 125

4 x + 3 = x^{3} + 3 x^{2} - 9 x + 12

4 x^{4} + 2 x^{2} + 1 = 0

What are the solutions to the equation a^3-3a-3=0 ?
The solutions to the equation a^3-3a-3=0 are a\approx 2.10380…
Find the zeros of a^3-3a-3=0
The zeros of a^3-3a-3=0 are a\approx 2.10380…