What are the solutions to the equation 3x^4-74x^2-25=0 ?

The solutions to the equation 3x^4-74x^2-25=0 are x=5,x=-5,x= 1/(sqrt(3))i,x=-1/(sqrt(3))i

Find the zeros of 3x^4-74x^2-25=0

The zeros of 3x^4-74x^2-25=0 are x=5,x=-5,x= 1/(sqrt(3))i,x=-1/(sqrt(3))i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{4} - 74 x^{2} - 25 = 0

x = 5, x = - 5, x = \frac{1}{3} i, x = - \frac{1}{3} i

Solution steps

3 x^{4} - 74 x^{2} - 25 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

3 u^{2} - 74 u - 25 = 0

Solve

3 u^{2} - 74 u - 25 = 0 : u = 25, u = - \frac{1}{3}

u = 25, u = - \frac{1}{3}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 25 : x = 5, x = - 5

Solve

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

The solutions are

x = 5, x = - 5, x = \frac{1}{3} i, x = - \frac{1}{3} i

114 s^{5} = 1.34 \cdot 1 0^{- 34}

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

- 50 = 10 b^{10} b

0.195618 = (1 + x)^{12} - 1

2 x^{3} + 7 x^{2} + 2 x - 5 = 0

What are the solutions to the equation 3x^4-74x^2-25=0 ?
The solutions to the equation 3x^4-74x^2-25=0 are x=5,x=-5,x= 1/(sqrt(3))i,x=-1/(sqrt(3))i
Find the zeros of 3x^4-74x^2-25=0
The zeros of 3x^4-74x^2-25=0 are x=5,x=-5,x= 1/(sqrt(3))i,x=-1/(sqrt(3))i