What are the solutions to the equation 10x^4-13x^3+15x^2-18x-24=0 ?

The solutions to the equation 10x^4-13x^3+15x^2-18x-24=0 are x\approx-0.65926…,x\approx 1.62191…

Find the zeros of 10x^4-13x^3+15x^2-18x-24=0

The zeros of 10x^4-13x^3+15x^2-18x-24=0 are x\approx-0.65926…,x\approx 1.62191…

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10 x^{4} - 13 x^{3} + 15 x^{2} - 18 x - 24 = 0

x \approx - 0.65926 \dots, x \approx 1.62191 \dots

Solution steps

10 x^{4} - 13 x^{3} + 15 x^{2} - 18 x - 24 = 0

Find one solution for

10 x^{4} - 13 x^{3} + 15 x^{2} - 18 x - 24 = 0

using Newton-Raphson:

x \approx - 0.65926 \dots

Apply long division:

\frac{10 x ^{4} - 13 x ^{3} + 15 x ^{2} - 18 x - 24}{x + 0.65926 \dots} = 10 x^{3} - 19.59261 \dots x^{2} + 27.91665 \dots x - 36.40437 \dots

10 x^{3} - 19.59261 \dots x^{2} + 27.91665 \dots x - 36.40437 \dots \approx 0

Find one solution for

10 x^{3} - 19.59261 \dots x^{2} + 27.91665 \dots x - 36.40437 \dots = 0

using Newton-Raphson:

x \approx 1.62191 \dots

Apply long division:

\frac{10 x ^{3} - 19.59261 \dots x ^{2} + 27.91665 \dots x - 36.40437 \dots}{x - 1.62191 \dots} = 10 x^{2} - 3.37341 \dots x + 22.44524 \dots

10 x^{2} - 3.37341 \dots x + 22.44524 \dots \approx 0

Find one solution for

10 x^{2} - 3.37341 \dots x + 22.44524 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 0.65926 \dots, x \approx 1.62191 \dots

(x + 3)^{3} = 6 + 4

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

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

9 x^{3} - 3 x^{2} - 3 x - 1 = 0

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

What are the solutions to the equation 10x^4-13x^3+15x^2-18x-24=0 ?
The solutions to the equation 10x^4-13x^3+15x^2-18x-24=0 are x\approx-0.65926…,x\approx 1.62191…
Find the zeros of 10x^4-13x^3+15x^2-18x-24=0
The zeros of 10x^4-13x^3+15x^2-18x-24=0 are x\approx-0.65926…,x\approx 1.62191…