What are the solutions to the equation x^3-5x+6=0 ?

The solutions to the equation x^3-5x+6=0 are x\approx-2.68909…

Find the zeros of x^3-5x+6=0

The zeros of x^3-5x+6=0 are x\approx-2.68909…

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x^{3} - 5 x + 6 = 0

x \approx - 2.68909 \dots

Solution steps

x^{3} - 5 x + 6 = 0

Find one solution for

x^{3} - 5 x + 6 = 0

using Newton-Raphson:

x \approx - 2.68909 \dots

Apply long division:

\frac{x ^{3} - 5 x + 6}{x + 2.68909 \dots} = x^{2} - 2.68909 \dots x + 2.23123 \dots

x^{2} - 2.68909 \dots x + 2.23123 \dots \approx 0

Find one solution for

x^{2} - 2.68909 \dots x + 2.23123 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 2.68909 \dots

(k^{2} + 4)^{2} = 0

25 x^{4} - 689 x^{2} + 1600 = 0

a^{7} + 10 = 8

(x^{2} + 4) (x - 1) + 1 = x

2 x^{3} - 11 x^{2} - 7 x - 2 = 0

What are the solutions to the equation x^3-5x+6=0 ?
The solutions to the equation x^3-5x+6=0 are x\approx-2.68909…
Find the zeros of x^3-5x+6=0
The zeros of x^3-5x+6=0 are x\approx-2.68909…