What are the solutions to the equation roots x^3+4x^2-10 ?

The solutions to the equation roots x^3+4x^2-10 are x\approx 1.36523…

Find the zeros of roots x^3+4x^2-10

The zeros of roots x^3+4x^2-10 are x\approx 1.36523…

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roots

x^{3} + 4 x^{2} - 10

x \approx 1.36523 \dots

Solution steps

x^{3} + 4 x^{2} - 10

The roots are the intercepts with the x-axis

(y = 0)

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.36523 \dots

Apply long division:

\frac{x ^{3} + 4 x ^{2} - 10}{x - 1.36523 \dots} = x^{2} + 5.36523 \dots x + 7.32477 \dots

x^{2} + 5.36523 \dots x + 7.32477 \dots \approx 0

Find one solution for

x^{2} + 5.36523 \dots x + 7.32477 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.36523 \dots

x^{3} - 11 x^{2} + 23 x + 35 = 0

2 x^{4} - x^{3} - 6 x + 3 = 0

x^{3} + 2 x^{2} + 3 x = - 6

3 x^{3} - 25 x^{2} + 58 x - 40 = 0

x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 7 = 0

What are the solutions to the equation roots x^3+4x^2-10 ?
The solutions to the equation roots x^3+4x^2-10 are x\approx 1.36523…
Find the zeros of roots x^3+4x^2-10
The zeros of roots x^3+4x^2-10 are x\approx 1.36523…