What are the solutions to the equation 4x^3=26x^2-36x ?

The solutions to the equation 4x^3=26x^2-36x are x=0,x=2,x= 9/2

Find the zeros of 4x^3=26x^2-36x

The zeros of 4x^3=26x^2-36x are x=0,x=2,x= 9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{3} = 26 x^{2} - 36 x

x = 0, x = 2, x = \frac{9}{2}

Decimal Notation

x = 0, x = 2, x = 4.5

Solution steps

4 x^{3} = 26 x^{2} - 36 x

Move

36 x

to the left side

4 x^{3} + 36 x = 26 x^{2}

Move

26 x^{2}

to the left side

4 x^{3} + 36 x - 26 x^{2} = 0

Factor

4 x^{3} + 36 x - 26 x^{2} : 2 x (x - 2) (2 x - 9)

2 x (x - 2) (2 x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or 2 x - 9 = 0

Solve

x - 2 = 0 : x = 2

Solve

2 x - 9 = 0 : x = \frac{9}{2}

The solutions are

x = 0, x = 2, x = \frac{9}{2}

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

3 x^{3} - 4 x + 12 = 0

7 x^{4} - 42 x^{2} - 35 x = 0

x^{4} - x^{2} = 1

(x + 3) (x^{2} + 1)^{2} = 0

What are the solutions to the equation 4x^3=26x^2-36x ?
The solutions to the equation 4x^3=26x^2-36x are x=0,x=2,x= 9/2
Find the zeros of 4x^3=26x^2-36x
The zeros of 4x^3=26x^2-36x are x=0,x=2,x= 9/2