What are the solutions to the equation 144x^4-24x^2+1=0 ?

The solutions to the equation 144x^4-24x^2+1=0 are x= 1/(2sqrt(3)),x=-1/(2sqrt(3))

Find the zeros of 144x^4-24x^2+1=0

The zeros of 144x^4-24x^2+1=0 are x= 1/(2sqrt(3)),x=-1/(2sqrt(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

144 x^{4} - 24 x^{2} + 1 = 0

x = \frac{1}{2 3}, x = - \frac{1}{2 3}

Decimal Notation

x = 0.28867 \dots, x = - 0.28867 \dots

Solution steps

144 x^{4} - 24 x^{2} + 1 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

144 u^{2} - 24 u + 1 = 0

Solve

144 u^{2} - 24 u + 1 = 0 : u = \frac{1}{12}

u = \frac{1}{12}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{1}{12} : x = \frac{1}{2 3}, x = - \frac{1}{2 3}

The solutions are

x = \frac{1}{2 3}, x = - \frac{1}{2 3}

x, 4 y - 4 x^{3} = 0

z^{6} = - i

2 y^{4} + y^{2} = 36

2 x^{3} - 3 x^{2} + 16 x - 24 = 0

y^{3} - 3 y^{2} + 3 y - 1 = 0

What are the solutions to the equation 144x^4-24x^2+1=0 ?
The solutions to the equation 144x^4-24x^2+1=0 are x= 1/(2sqrt(3)),x=-1/(2sqrt(3))
Find the zeros of 144x^4-24x^2+1=0
The zeros of 144x^4-24x^2+1=0 are x= 1/(2sqrt(3)),x=-1/(2sqrt(3))