What are the solutions to the equation x^3+4x^2+10x+15=0 ?

The solutions to the equation x^3+4x^2+10x+15=0 are x\approx-2.42645…

Find the zeros of x^3+4x^2+10x+15=0

The zeros of x^3+4x^2+10x+15=0 are x\approx-2.42645…

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x^{3} + 4 x^{2} + 10 x + 15 = 0

x \approx - 2.42645 \dots

Solution steps

x^{3} + 4 x^{2} + 10 x + 15 = 0

Find one solution for

x^{3} + 4 x^{2} + 10 x + 15 = 0

using Newton-Raphson:

x \approx - 2.42645 \dots

Apply long division:

\frac{x ^{3} + 4 x ^{2} + 10 x + 15}{x + 2.42645 \dots} = x^{2} + 1.57354 \dots x + 6.18186 \dots

x^{2} + 1.57354 \dots x + 6.18186 \dots \approx 0

Find one solution for

x^{2} + 1.57354 \dots x + 6.18186 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 2.42645 \dots

(x^{2} + 2) (x^{2} - 1) = 0

x^{3} + 12 x^{2} - 60 x + 64 = 0

x^{6} - 12 x^{3} + 27 = 0

(x - 3)^{5} = 0

4 x^{3} = 26 x^{2} - 36 x

What are the solutions to the equation x^3+4x^2+10x+15=0 ?
The solutions to the equation x^3+4x^2+10x+15=0 are x\approx-2.42645…
Find the zeros of x^3+4x^2+10x+15=0
The zeros of x^3+4x^2+10x+15=0 are x\approx-2.42645…