What are the solutions to the equation 10x^6-25x^4+28x^2+9=0 ?

The solutions to the equation 10x^6-25x^4+28x^2+9=0 are No Solution for x\in\mathbb{R}

Find the zeros of 10x^6-25x^4+28x^2+9=0

The zeros of 10x^6-25x^4+28x^2+9=0 are No Solution for x\in\mathbb{R}

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10 x^{6} - 25 x^{4} + 28 x^{2} + 9 = 0

No Solution for x \in R

Solution steps

10 x^{6} - 25 x^{4} + 28 x^{2} + 9 = 0

Rewrite the equation with

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

and

u^{3} = x^{6}

10 u^{3} - 25 u^{2} + 28 u + 9 = 0

Solve

10 u^{3} - 25 u^{2} + 28 u + 9 = 0 : u \approx - 0.25660 \dots

u \approx - 0.25660 \dots

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = - 0.25660 \dots :

No Solution for

x \in R

The solution is

No Solution for x \in R

(x + 1) (x^{2} + 1) = (x + 1)^{2}

- x^{2} + x^{3} - 46.1111 = 0

2 z^{3} + z^{2} + 10 z + 5 = 0

z^{8} = - 1

- 8.7 = l^{5}

What are the solutions to the equation 10x^6-25x^4+28x^2+9=0 ?
The solutions to the equation 10x^6-25x^4+28x^2+9=0 are No Solution for x\in\mathbb{R}
Find the zeros of 10x^6-25x^4+28x^2+9=0
The zeros of 10x^6-25x^4+28x^2+9=0 are No Solution for x\in\mathbb{R}