What are the solutions to the equation 4x^3+3x^2-6x+4=0 ?

The solutions to the equation 4x^3+3x^2-6x+4=0 are x\approx-1.85170…

Find the zeros of 4x^3+3x^2-6x+4=0

The zeros of 4x^3+3x^2-6x+4=0 are x\approx-1.85170…

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4 x^{3} + 3 x^{2} - 6 x + 4 = 0

x \approx - 1.85170 \dots

Solution steps

4 x^{3} + 3 x^{2} - 6 x + 4 = 0

Find one solution for

4 x^{3} + 3 x^{2} - 6 x + 4 = 0

using Newton-Raphson:

x \approx - 1.85170 \dots

Apply long division:

\frac{4 x ^{3} + 3 x ^{2} - 6 x + 4}{x + 1.85170 \dots} = 4 x^{2} - 4.40683 \dots x + 2.16016 \dots

4 x^{2} - 4.40683 \dots x + 2.16016 \dots \approx 0

Find one solution for

4 x^{2} - 4.40683 \dots x + 2.16016 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.85170 \dots

x^{4} - 36 x^{2} = - 35

x^{4} - 6 x^{3} + 5 x^{2} = 0

3 x^{4} + 24 x = 0

x, e^{t} = x^{6}

4 x^{3} - 36 x^{2} - 96 x - 64 = 0

What are the solutions to the equation 4x^3+3x^2-6x+4=0 ?
The solutions to the equation 4x^3+3x^2-6x+4=0 are x\approx-1.85170…
Find the zeros of 4x^3+3x^2-6x+4=0
The zeros of 4x^3+3x^2-6x+4=0 are x\approx-1.85170…