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

The solutions to the equation -4x^3+2x^2+4=0 are x\approx 1.19742…

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

The zeros of -4x^3+2x^2+4=0 are x\approx 1.19742…

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

x \approx 1.19742 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.19742 \dots

Apply long division:

\frac{- 4 x ^{3} + 2 x ^{2} + 4}{x - 1.19742 \dots} = - 4 x^{2} - 2.78971 \dots x - 3.34048 \dots

- 4 x^{2} - 2.78971 \dots x - 3.34048 \dots \approx 0

Find one solution for

- 4 x^{2} - 2.78971 \dots x - 3.34048 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.19742 \dots

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

(x^{3} - 27) = 0

x^{2} (x - 1) (x + 6) = 0

x^{3} + 5 x^{2} + 12 x + 8 = 0

x^{2} (x^{2} - 16) - 25 (x^{2} - 16) = 0

What are the solutions to the equation -4x^3+2x^2+4=0 ?
The solutions to the equation -4x^3+2x^2+4=0 are x\approx 1.19742…
Find the zeros of -4x^3+2x^2+4=0
The zeros of -4x^3+2x^2+4=0 are x\approx 1.19742…