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

The solutions to the equation -4x^4+3x^2-2x+6=0 are x\approx 1.18291…,x\approx-1.37893…

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

The zeros of -4x^4+3x^2-2x+6=0 are x\approx 1.18291…,x\approx-1.37893…

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

x \approx 1.18291 \dots, x \approx - 1.37893 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.18291 \dots

Apply long division:

\frac{- 4 x ^{4} + 3 x ^{2} - 2 x + 6}{x - 1.18291 \dots} = - 4 x^{3} - 4.73166 \dots x^{2} - 2.59715 \dots x - 5.07221 \dots

- 4 x^{3} - 4.73166 \dots x^{2} - 2.59715 \dots x - 5.07221 \dots \approx 0

Find one solution for

- 4 x^{3} - 4.73166 \dots x^{2} - 2.59715 \dots x - 5.07221 \dots = 0

using Newton-Raphson:

x \approx - 1.37893 \dots

Apply long division:

\frac{- 4 x ^{3} - 4.73166 \dots x ^{2} - 2.59715 \dots x - 5.07221 \dots}{x + 1.37893 \dots} = - 4 x^{2} + 0.78408 \dots x - 3.67835 \dots

- 4 x^{2} + 0.78408 \dots x - 3.67835 \dots \approx 0

Find one solution for

- 4 x^{2} + 0.78408 \dots x - 3.67835 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 1.18291 \dots, x \approx - 1.37893 \dots

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

x^{3} + 11 x^{2} + 34 x + 24 = 0

4 s^{3} + 14 s^{2} + 7 s + 6 = 0

15 x^{3} - 55 x^{2} + 40 x = 0

64 x^{6} = 27

What are the solutions to the equation -4x^4+3x^2-2x+6=0 ?
The solutions to the equation -4x^4+3x^2-2x+6=0 are x\approx 1.18291…,x\approx-1.37893…
Find the zeros of -4x^4+3x^2-2x+6=0
The zeros of -4x^4+3x^2-2x+6=0 are x\approx 1.18291…,x\approx-1.37893…