What are the solutions to the equation x^3-4x-2=0 ?

The solutions to the equation x^3-4x-2=0 are x\approx-0.53918…,x\approx-1.67513…,x\approx 2.21431…

Find the zeros of x^3-4x-2=0

The zeros of x^3-4x-2=0 are x\approx-0.53918…,x\approx-1.67513…,x\approx 2.21431…

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

x \approx - 0.53918 \dots, x \approx - 1.67513 \dots, x \approx 2.21431 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.53918 \dots

Apply long division:

\frac{x ^{3} - 4 x - 2}{x + 0.53918 \dots} = x^{2} - 0.53918 \dots x - 3.70927 \dots

x^{2} - 0.53918 \dots x - 3.70927 \dots \approx 0

Find one solution for

x^{2} - 0.53918 \dots x - 3.70927 \dots = 0

using Newton-Raphson:

x \approx - 1.67513 \dots

Apply long division:

\frac{x ^{2} - 0.53918 \dots x - 3.70927 \dots}{x + 1.67513 \dots} = x - 2.21431 \dots

x - 2.21431 \dots \approx 0

x \approx 2.21431 \dots

The solutions are

x \approx - 0.53918 \dots, x \approx - 1.67513 \dots, x \approx 2.21431 \dots

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

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

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

x^{3} - 512 = 0

x^{3} - 5 x^{2} + x - 5 = 0

What are the solutions to the equation x^3-4x-2=0 ?
The solutions to the equation x^3-4x-2=0 are x\approx-0.53918…,x\approx-1.67513…,x\approx 2.21431…
Find the zeros of x^3-4x-2=0
The zeros of x^3-4x-2=0 are x\approx-0.53918…,x\approx-1.67513…,x\approx 2.21431…