What are the solutions to the equation x^3+7x^2+17x-24=0 ?

The solutions to the equation x^3+7x^2+17x-24=0 are x\approx 0.97033…

Find the zeros of x^3+7x^2+17x-24=0

The zeros of x^3+7x^2+17x-24=0 are x\approx 0.97033…

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x^{3} + 7 x^{2} + 17 x - 24 = 0

x \approx 0.97033 \dots

Solution steps

x^{3} + 7 x^{2} + 17 x - 24 = 0

Find one solution for

x^{3} + 7 x^{2} + 17 x - 24 = 0

using Newton-Raphson:

x \approx 0.97033 \dots

Apply long division:

\frac{x ^{3} + 7 x ^{2} + 17 x - 24}{x - 0.97033 \dots} = x^{2} + 7.97033 \dots x + 24.73385 \dots

x^{2} + 7.97033 \dots x + 24.73385 \dots \approx 0

Find one solution for

x^{2} + 7.97033 \dots x + 24.73385 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.97033 \dots

(x^{2} - 1) (x^{2} - 12) + 24 = 0

- (12 x^{5} - 8 x^{3}) = 25 x^{2}

a, a^{3} + b^{3} = c^{3} + d^{3}

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

(x + 1)^{3} = (x + 1)^{2}

What are the solutions to the equation x^3+7x^2+17x-24=0 ?
The solutions to the equation x^3+7x^2+17x-24=0 are x\approx 0.97033…
Find the zeros of x^3+7x^2+17x-24=0
The zeros of x^3+7x^2+17x-24=0 are x\approx 0.97033…