What are the solutions to the equation x=(3x^2+2)^2 ?

The solutions to the equation x=(3x^2+2)^2 are No Solution for x\in\mathbb{R}

Find the zeros of x=(3x^2+2)^2

The zeros of x=(3x^2+2)^2 are No Solution for x\in\mathbb{R}

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x = (3 x^{2} + 2)^{2}

No Solution for x \in R

Solution steps

x = (3 x^{2} + 2)^{2}

Expand

(3 x^{2} + 2)^{2} : 9 x^{4} + 12 x^{2} + 4

x = 9 x^{4} + 12 x^{2} + 4

Switch sides

9 x^{4} + 12 x^{2} + 4 = x

Move

x

to the left side

9 x^{4} + 12 x^{2} + 4 - x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

9 x^{4} + 12 x^{2} - x + 4 = 0

Find one solution for

9 x^{4} + 12 x^{2} - x + 4 = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

No Solution for x \in R

x^{3} + 3 x^{2} + 18 x = 0

625 = x^{4}

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

- x^{3} - 5 x^{2} + 25 x + 125 = 0

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

What are the solutions to the equation x=(3x^2+2)^2 ?
The solutions to the equation x=(3x^2+2)^2 are No Solution for x\in\mathbb{R}
Find the zeros of x=(3x^2+2)^2
The zeros of x=(3x^2+2)^2 are No Solution for x\in\mathbb{R}