What are the solutions to the equation a^3-6a^2+15a+10=0 ?

The solutions to the equation a^3-6a^2+15a+10=0 are a\approx-0.53968…

Find the zeros of a^3-6a^2+15a+10=0

The zeros of a^3-6a^2+15a+10=0 are a\approx-0.53968…

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a^{3} - 6 a^{2} + 15 a + 10 = 0

a \approx - 0.53968 \dots

Solution steps

a^{3} - 6 a^{2} + 15 a + 10 = 0

Find one solution for

a^{3} - 6 a^{2} + 15 a + 10 = 0

using Newton-Raphson:

a \approx - 0.53968 \dots

Apply long division:

\frac{a ^{3} - 6 a ^{2} + 15 a + 10}{a + 0.53968 \dots} = a^{2} - 6.53968 \dots a + 18.52936 \dots

a^{2} - 6.53968 \dots a + 18.52936 \dots \approx 0

Find one solution for

a^{2} - 6.53968 \dots a + 18.52936 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx - 0.53968 \dots

4 x^{3} - 4 x^{2} - x + 1 = 0

x^{3} + 9 x^{2} + 27 + 19 = 0

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

6 r^{3} - r^{2} - 6 r + 1 = 0

x = - 3 x^{4} + 2 x^{3} - 5 x + 8

What are the solutions to the equation a^3-6a^2+15a+10=0 ?
The solutions to the equation a^3-6a^2+15a+10=0 are a\approx-0.53968…
Find the zeros of a^3-6a^2+15a+10=0
The zeros of a^3-6a^2+15a+10=0 are a\approx-0.53968…