What are the solutions to the equation 3a^3+9a-8=0 ?

The solutions to the equation 3a^3+9a-8=0 are a\approx 0.74888…

Find the zeros of 3a^3+9a-8=0

The zeros of 3a^3+9a-8=0 are a\approx 0.74888…

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3 a^{3} + 9 a - 8 = 0

a \approx 0.74888 \dots

Solution steps

3 a^{3} + 9 a - 8 = 0

Find one solution for

3 a^{3} + 9 a - 8 = 0

using Newton-Raphson:

a \approx 0.74888 \dots

Apply long division:

\frac{3 a ^{3} + 9 a - 8}{a - 0.74888 \dots} = 3 a^{2} + 2.24666 \dots a + 10.68250 \dots

3 a^{2} + 2.24666 \dots a + 10.68250 \dots \approx 0

Find one solution for

3 a^{2} + 2.24666 \dots a + 10.68250 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx 0.74888 \dots

x, x^{3} y^{3} - 4 = 0

x^{3} - 2 x^{2} + 16 x = 0

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

2 x^{4} - 3 x^{3} + 5 x^{2} - 7 x + 11 = 0

x^{3} - 15 x^{2} + 75 x - 125 = 0

What are the solutions to the equation 3a^3+9a-8=0 ?
The solutions to the equation 3a^3+9a-8=0 are a\approx 0.74888…
Find the zeros of 3a^3+9a-8=0
The zeros of 3a^3+9a-8=0 are a\approx 0.74888…