What are the solutions to the equation 14x+3x^3=4x-6 ?

The solutions to the equation 14x+3x^3=4x-6 are x\approx-0.55006…

Find the zeros of 14x+3x^3=4x-6

The zeros of 14x+3x^3=4x-6 are x\approx-0.55006…

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14 x + 3 x^{3} = 4 x - 6

x \approx - 0.55006 \dots

Solution steps

14 x + 3 x^{3} = 4 x - 6

Move

6

to the left side

14 x + 3 x^{3} + 6 = 4 x

Move

4 x

to the left side

3 x^{3} + 10 x + 6 = 0

Find one solution for

3 x^{3} + 10 x + 6 = 0

using Newton-Raphson:

x \approx - 0.55006 \dots

Apply long division:

\frac{3 x ^{3} + 10 x + 6}{x + 0.55006 \dots} = 3 x^{2} - 1.65020 \dots x + 10.90772 \dots

3 x^{2} - 1.65020 \dots x + 10.90772 \dots \approx 0

Find one solution for

3 x^{2} - 1.65020 \dots x + 10.90772 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.55006 \dots

c^{3} = 216

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

z^{8} = 8

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

x^{3} + x^{2} + x^{1} + 1 = 0

What are the solutions to the equation 14x+3x^3=4x-6 ?
The solutions to the equation 14x+3x^3=4x-6 are x\approx-0.55006…
Find the zeros of 14x+3x^3=4x-6
The zeros of 14x+3x^3=4x-6 are x\approx-0.55006…