What are the solutions to the equation roots x^4+5x^2+4 ?

The solutions to the equation roots x^4+5x^2+4 are x=i,x=-i,x=2i,x=-2i

Find the zeros of roots x^4+5x^2+4

The zeros of roots x^4+5x^2+4 are x=i,x=-i,x=2i,x=-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

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

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

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

x^{4} + 5 x^{2} + 4 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} + 5 u + 4 = 0

Solve

u^{2} + 5 u + 4 = 0 : u = - 1, u = - 4

u = - 1, u = - 4

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

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

The solutions are

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

(z^{2} - 1)^{3} = 8

81 x^{4} = 3 x

x^{6} - 2 x^{3} + 2 = 0

x^{3} + x = 130

x^{4} - 5 x^{2} + 1

What are the solutions to the equation roots x^4+5x^2+4 ?
The solutions to the equation roots x^4+5x^2+4 are x=i,x=-i,x=2i,x=-2i
Find the zeros of roots x^4+5x^2+4
The zeros of roots x^4+5x^2+4 are x=i,x=-i,x=2i,x=-2i