What are the solutions to the equation 7x^6+35x^4+4=0 ?

The solutions to the equation 7x^6+35x^4+4=0 are No Solution for x\in\mathbb{R}

Find the zeros of 7x^6+35x^4+4=0

The zeros of 7x^6+35x^4+4=0 are No Solution for x\in\mathbb{R}

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7 x^{6} + 35 x^{4} + 4 = 0

No Solution for x \in R

Solution steps

7 x^{6} + 35 x^{4} + 4 = 0

Rewrite the equation with

u = x^{2}, u^{2} = x^{4}

and

u^{3} = x^{6}

7 u^{3} + 35 u^{2} + 4 = 0

Solve

7 u^{3} + 35 u^{2} + 4 = 0 : u \approx - 5.02265 \dots

u \approx - 5.02265 \dots

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = - 5.02265 \dots :

No Solution for

x \in R

The solution is

No Solution for x \in R

- 2 x^{4} + 3.8 x^{3} - 1 = 0

25 x^{4} - 34 x^{2} + 9 = 0

x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 1 = 0

5 x^{4} = 45 x^{2}

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

What are the solutions to the equation 7x^6+35x^4+4=0 ?
The solutions to the equation 7x^6+35x^4+4=0 are No Solution for x\in\mathbb{R}
Find the zeros of 7x^6+35x^4+4=0
The zeros of 7x^6+35x^4+4=0 are No Solution for x\in\mathbb{R}