What are the solutions to the equation 2x^6+88x^2=30x^4 ?

The solutions to the equation 2x^6+88x^2=30x^4 are x=0,x=2,x=-2,x=sqrt(11),x=-sqrt(11)

Find the zeros of 2x^6+88x^2=30x^4

The zeros of 2x^6+88x^2=30x^4 are x=0,x=2,x=-2,x=sqrt(11),x=-sqrt(11)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{6} + 88 x^{2} = 30 x^{4}

x = 0, x = 2, x = - 2, x = 11, x = - 11

Solution steps

2 x^{6} + 88 x^{2} = 30 x^{4}

Move

30 x^{4}

to the left side

2 x^{6} + 88 x^{2} - 30 x^{4} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

2 x^{6} - 30 x^{4} + 88 x^{2} = 0

Rewrite the equation with

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

and

u^{3} = x^{6}

2 u^{3} - 30 u^{2} + 88 u = 0

Solve

2 u^{3} - 30 u^{2} + 88 u = 0 : u = 0, u = 4, u = 11

u = 0, u = 4, u = 11

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 0 : x = 0

Solve

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

Solve

x^{2} = 11 : x = 11, x = - 11

The solutions are

x = 0, x = 2, x = - 2, x = 11, x = - 11

2 a^{4} + 1 = 7 a^{2}

8 x - 2 x^{3} - 1 = 0

2 (x + 7) (25 x^{2} - 49) = 0

x^{9} + 3 x^{6} + 3 x^{3} - 16 x - 7 = 0

x^{3} - 3 x^{2} - 9 x + 11 = 0

What are the solutions to the equation 2x^6+88x^2=30x^4 ?
The solutions to the equation 2x^6+88x^2=30x^4 are x=0,x=2,x=-2,x=sqrt(11),x=-sqrt(11)
Find the zeros of 2x^6+88x^2=30x^4
The zeros of 2x^6+88x^2=30x^4 are x=0,x=2,x=-2,x=sqrt(11),x=-sqrt(11)