What are the solutions to the equation x^4-6x^3+5x^2=0 ?

The solutions to the equation x^4-6x^3+5x^2=0 are x=0,x=1,x=5

Find the zeros of x^4-6x^3+5x^2=0

The zeros of x^4-6x^3+5x^2=0 are x=0,x=1,x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 6 x^{3} + 5 x^{2} = 0

x = 0, x = 1, x = 5

Solution steps

x^{4} - 6 x^{3} + 5 x^{2} = 0

Factor

x^{4} - 6 x^{3} + 5 x^{2} : x^{2} (x - 1) (x - 5)

x^{2} (x - 1) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x - 5 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = 1, x = 5

3 x^{4} + 24 x = 0

x, e^{t} = x^{6}

4 x^{3} - 36 x^{2} - 96 x - 64 = 0

8 x^{3} - 8 = 0

x^{4} \cdot 5^{4} = (- 1 0^{4})

What are the solutions to the equation x^4-6x^3+5x^2=0 ?
The solutions to the equation x^4-6x^3+5x^2=0 are x=0,x=1,x=5
Find the zeros of x^4-6x^3+5x^2=0
The zeros of x^4-6x^3+5x^2=0 are x=0,x=1,x=5