What are the solutions to the equation 30x^4+30x^2=0 ?

The solutions to the equation 30x^4+30x^2=0 are x=0,x=i,x=-i

Find the zeros of 30x^4+30x^2=0

The zeros of 30x^4+30x^2=0 are x=0,x=i,x=-i

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30 x^{4} + 30 x^{2} = 0

x = 0, x = i, x = - i

Solution steps

30 x^{4} + 30 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

30 u^{2} + 30 u = 0

Solve

30 u^{2} + 30 u = 0 : u = 0, u = - 1

u = 0, u = - 1

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 0 : x = 0

Solve

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

The solutions are

x = 0, x = i, x = - i

1 0^{4} = x^{4} - (x - 0.5)^{4}

4 x^{1} + 4 x^{2} + 2 x^{3} = 4

5 x^{4} = 2560 x

2 r^{3} + 7 r^{2} - 4 r - 21 = 0

(1 + 0.0239193)^{1} = (1 + x)^{3}

What are the solutions to the equation 30x^4+30x^2=0 ?
The solutions to the equation 30x^4+30x^2=0 are x=0,x=i,x=-i
Find the zeros of 30x^4+30x^2=0
The zeros of 30x^4+30x^2=0 are x=0,x=i,x=-i