What are the solutions to the equation 2x^3-75x=0 ?

The solutions to the equation 2x^3-75x=0 are x=0,x=-(5sqrt(3))/(sqrt(2)),x=(5sqrt(3))/(sqrt(2))

Find the zeros of 2x^3-75x=0

The zeros of 2x^3-75x=0 are x=0,x=-(5sqrt(3))/(sqrt(2)),x=(5sqrt(3))/(sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{3} - 75 x = 0

x = 0, x = - \frac{5 3}{2}, x = \frac{5 3}{2}

Decimal Notation

x = 0, x = - 6.12372 \dots, x = 6.12372 \dots

Solution steps

2 x^{3} - 75 x = 0

Factor

2 x^{3} - 75 x : x (2 x + 53) (2 x - 53)

x (2 x + 53) (2 x - 53) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 53 = 0 or 2 x - 53 = 0

Solve

2 x + 53 = 0 : x = - \frac{5 3}{2}

Solve

2 x - 53 = 0 : x = \frac{5 3}{2}

The solutions are

x = 0, x = - \frac{5 3}{2}, x = \frac{5 3}{2}

x^{4} + 4 x^{3} + 17 x^{2} + 36 x + 72 = 0

x, y^{2} = x^{6}

1056 X^{3} - 55 X^{2} - 55 X - 1055 = 0

9 x^{4} + 85 x^{2} + 36 = 0

x, d u = x^{3} + 5

What are the solutions to the equation 2x^3-75x=0 ?
The solutions to the equation 2x^3-75x=0 are x=0,x=-(5sqrt(3))/(sqrt(2)),x=(5sqrt(3))/(sqrt(2))
Find the zeros of 2x^3-75x=0
The zeros of 2x^3-75x=0 are x=0,x=-(5sqrt(3))/(sqrt(2)),x=(5sqrt(3))/(sqrt(2))