What are the solutions to the equation roots x^4-3x^2-4 ?

The solutions to the equation roots x^4-3x^2-4 are x=2,x=-2,x=i,x=-i

Find the zeros of roots x^4-3x^2-4

The zeros of roots x^4-3x^2-4 are x=2,x=-2,x=i,x=-i

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roots

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

x = 2, x = - 2, x = i, x = - i

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 3 u - 4 = 0

Solve

u^{2} - 3 u - 4 = 0 : u = 4, u = - 1

u = 4, u = - 1

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 4 : x = 2, x = - 2

Solve

x^{2} = - 1 : x = i, x = - i

The solutions are

x = 2, x = - 2, x = i, x = - i

x^{3} = 2^{30}

x^{3} - 16 x^{2} + 55 x + 72 = 0

- x^{4} - 8 x^{3} + 20 x^{2} = 0

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

2 x^{3} + 9 x^{2} - 24 x - 12 = 0

What are the solutions to the equation roots x^4-3x^2-4 ?
The solutions to the equation roots x^4-3x^2-4 are x=2,x=-2,x=i,x=-i
Find the zeros of roots x^4-3x^2-4
The zeros of roots x^4-3x^2-4 are x=2,x=-2,x=i,x=-i