What are the solutions to the equation 6h^5=12h^3 ?

The solutions to the equation 6h^5=12h^3 are h=0,h=-sqrt(2),h=sqrt(2)

Find the zeros of 6h^5=12h^3

The zeros of 6h^5=12h^3 are h=0,h=-sqrt(2),h=sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 h^{5} = 12 h^{3}

h = 0, h = - 2, h = 2

Decimal Notation

h = 0, h = - 1.41421 \dots, h = 1.41421 \dots

Solution steps

6 h^{5} = 12 h^{3}

Move

12 h^{3}

to the left side

6 h^{5} - 12 h^{3} = 0

Factor

6 h^{5} - 12 h^{3} : 6 h^{3} (h + 2) (h - 2)

6 h^{3} (h + 2) (h - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

h = 0 or h + 2 = 0 or h - 2 = 0

Solve

h + 2 = 0 : h = - 2

Solve

h - 2 = 0 : h = 2

The solutions are

h = 0, h = - 2, h = 2

2 x^{3} - 9 x^{2} + 12 x = 0

x^{3} + 15 x^{2} + 71 x + 105 = 0

x^{3} + x + 8 = 0

x^{4} + 30 x^{2} - 400 = 198 x^{2}

(1 + \frac{x}{4})^{4} - 1 = 0

What are the solutions to the equation 6h^5=12h^3 ?
The solutions to the equation 6h^5=12h^3 are h=0,h=-sqrt(2),h=sqrt(2)
Find the zeros of 6h^5=12h^3
The zeros of 6h^5=12h^3 are h=0,h=-sqrt(2),h=sqrt(2)