What are the solutions to the equation -2x^8+3x^6+x^4-57x^2-40=0 ?

The solutions to the equation -2x^8+3x^6+x^4-57x^2-40=0 are No Solution for x\in\mathbb{R}

Find the zeros of -2x^8+3x^6+x^4-57x^2-40=0

The zeros of -2x^8+3x^6+x^4-57x^2-40=0 are No Solution for x\in\mathbb{R}

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- 2 x^{8} + 3 x^{6} + x^{4} - 57 x^{2} - 40 = 0

No Solution for x \in R

Solution steps

- 2 x^{8} + 3 x^{6} + x^{4} - 57 x^{2} - 40 = 0

Rewrite the equation with

u = x^{2}, u^{2} = x^{4}, u^{3} = x^{6}

and

u^{4} = x^{8}

- 2 u^{4} + 3 u^{3} + u^{2} - 57 u - 40 = 0

Solve

- 2 u^{4} + 3 u^{3} + u^{2} - 57 u - 40 = 0 : u \approx - 0.72194 \dots, u \approx - 2.34499 \dots

u \approx - 0.72194 \dots, u \approx - 2.34499 \dots

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = - 0.72194 \dots :

No Solution for

x \in R

Solve

x^{2} = - 2.34499 \dots :

No Solution for

x \in R

The solution is

No Solution for x \in R

2 x^{3} - 6 x^{2} - 10 x + 30 = 0

4 (x - 2)^{3} = 0

x^{6} = - 729

- 3 + d^{5} = - 1

u^{3} + 2 u^{2} - 8 u = 0

What are the solutions to the equation -2x^8+3x^6+x^4-57x^2-40=0 ?
The solutions to the equation -2x^8+3x^6+x^4-57x^2-40=0 are No Solution for x\in\mathbb{R}
Find the zeros of -2x^8+3x^6+x^4-57x^2-40=0
The zeros of -2x^8+3x^6+x^4-57x^2-40=0 are No Solution for x\in\mathbb{R}