What are the solutions to the equation 3x^2=x^4 ?

The solutions to the equation 3x^2=x^4 are x=sqrt(3),x=-sqrt(3),x=0

Find the zeros of 3x^2=x^4

The zeros of 3x^2=x^4 are x=sqrt(3),x=-sqrt(3),x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 3, x = - 3, x = 0

Decimal Notation

x = 1.73205 \dots, x = - 1.73205 \dots, x = 0

Solution steps

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

Switch sides

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

Move

3 x^{2}

to the left side

x^{4} - 3 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 3 u = 0

Solve

u^{2} - 3 u = 0 : u = 3, u = 0

u = 3, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 3 : x = 3, x = - 3

Solve

x^{2} = 0 : x = 0

The solutions are

x = 3, x = - 3, x = 0

x^{6} - 7 x^{3} = 8

t^{4} = 3

2 x^{3} - 18 x = 0

z^{3} + 216 = 0

(3 x)^{3} (2 x)^{2} = 2300

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