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

The solutions to the equation 0=-4x^3+2x^2+x-2 are x\approx-0.74279…

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

The zeros of 0=-4x^3+2x^2+x-2 are x\approx-0.74279…

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

x \approx - 0.74279 \dots

Solution steps

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

Switch sides

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.74279 \dots

Apply long division:

\frac{- 4 x ^{3} + 2 x ^{2} + x - 2}{x + 0.74279 \dots} = - 4 x^{2} + 4.97116 \dots x - 2.69254 \dots

- 4 x^{2} + 4.97116 \dots x - 2.69254 \dots \approx 0

Find one solution for

- 4 x^{2} + 4.97116 \dots x - 2.69254 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.74279 \dots

2 s^{4} + 48 s^{2} - 50 = 0

x^{3} + 4 x^{2} - 10 x - 40 = 0

2 x^{3} + 10 x^{2} + 4 x = - 8 x

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

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

What are the solutions to the equation 0=-4x^3+2x^2+x-2 ?
The solutions to the equation 0=-4x^3+2x^2+x-2 are x\approx-0.74279…
Find the zeros of 0=-4x^3+2x^2+x-2
The zeros of 0=-4x^3+2x^2+x-2 are x\approx-0.74279…