What are the solutions to the equation x^6-14x^4+3x^2-42=0 ?

The solutions to the equation x^6-14x^4+3x^2-42=0 are

Find the zeros of x^6-14x^4+3x^2-42=0

The zeros of x^6-14x^4+3x^2-42=0 are

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x^{6} - 14 x^{4} + 3 x^{2} - 42 = 0

Solution steps

x^{6} - 14 x^{4} + 3 x^{2} - 42 = 0

Rewrite the equation with

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

and

u^{3} = x^{6}

u^{3} - 14 u^{2} + 3 u - 42 = 0

Solve

u^{3} - 14 u^{2} + 3 u - 42 = 0 : u = 14, u = 3 i, u = - 3 i

u = 14, u = 3 i, u = - 3 i

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 14 : x = 14, x = - 14

Solve

The solutions are

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

x^{4} - x^{3} - 13 x^{2} + x + 12 = 0

s^{3} + 10.6 s^{2} + 7 s + 10 = 0

x^{4} - 4 x^{3} + 5 x^{2} - 2 x - 2

x^{3} - 9 x^{2} + 21 x - 5 = 0

What are the solutions to the equation x^6-14x^4+3x^2-42=0 ?
The solutions to the equation x^6-14x^4+3x^2-42=0 are
Find the zeros of x^6-14x^4+3x^2-42=0
The zeros of x^6-14x^4+3x^2-42=0 are