What are the solutions to the equation 3x^6-14x^3=80 ?

The solutions to the equation 3x^6-14x^3=80 are

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3x^6-14x^3=80

3 x^{6} - 14 x^{3} = 80

Solution steps

3 x^{6} - 14 x^{3} = 80

Move

80

to the left side

3 x^{6} - 14 x^{3} - 80 = 0

Rewrite the equation with

u = x^{3}

and

u^{2} = x^{6}

3 u^{2} - 14 u - 80 = 0

Solve

3 u^{2} - 14 u - 80 = 0 : u = 8, u = - \frac{10}{3}

u = 8, u = - \frac{10}{3}

Substitute back

u = x^{3},

solve for

x

Solve

x^{3} = 8 : x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Solve

The solutions are

6 x^{2} x = 2

x^{8} = xx + 5

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

x^{3} - 100 x^{2} + 3200 x - 120 = 0

0 = x^{3} - 4 x^{2} - 12 x

What are the solutions to the equation 3x^6-14x^3=80 ?
The solutions to the equation 3x^6-14x^3=80 are
Find the zeros of 3x^6-14x^3=80
The zeros of 3x^6-14x^3=80 are