What are the solutions to the equation roots 4x^4+15x^2-4=0 ?

The solutions to the equation roots 4x^4+15x^2-4=0 are x= 1/2 ,x=-1/2 ,x=2i,x=-2i

Find the zeros of roots 4x^4+15x^2-4=0

The zeros of roots 4x^4+15x^2-4=0 are x= 1/2 ,x=-1/2 ,x=2i,x=-2i

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roots

4 x^{4} + 15 x^{2} - 4 = 0

x = \frac{1}{2}, x = - \frac{1}{2}, x = 2 i, x = - 2 i

Solution steps

4 x^{4} + 15 x^{2} - 4 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

4 u^{2} + 15 u - 4 = 0

Solve

4 u^{2} + 15 u - 4 = 0 : u = \frac{1}{4}, u = - 4

u = \frac{1}{4}, u = - 4

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

Solve

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

The solutions are

x = \frac{1}{2}, x = - \frac{1}{2}, x = 2 i, x = - 2 i

4 x^{3} - 20 x^{2} - 9 x + 45 = 0

3 x^{5} - 4 x^{4} - 243 x + 324 = 0

x^{3} - x^{2} = 18

3 x^{3} = 7 x^{2} + 6 x

3 x^{4} - 24 x^{3} + 4 x^{2} - 29 x - 67 = 0

What are the solutions to the equation roots 4x^4+15x^2-4=0 ?
The solutions to the equation roots 4x^4+15x^2-4=0 are x= 1/2 ,x=-1/2 ,x=2i,x=-2i
Find the zeros of roots 4x^4+15x^2-4=0
The zeros of roots 4x^4+15x^2-4=0 are x= 1/2 ,x=-1/2 ,x=2i,x=-2i