What are the solutions to the equation roots 12x^3-20x^2+x+3 ?

The solutions to the equation roots 12x^3-20x^2+x+3 are x= 1/2 ,x=-1/3 ,x= 3/2

Find the zeros of roots 12x^3-20x^2+x+3

The zeros of roots 12x^3-20x^2+x+3 are x= 1/2 ,x=-1/3 ,x= 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

12 x^{3} - 20 x^{2} + x + 3

x = \frac{1}{2}, x = - \frac{1}{3}, x = \frac{3}{2}

Solution steps

12 x^{3} - 20 x^{2} + x + 3

The roots are the intercepts with the x-axis

(y = 0)

12 x^{3} - 20 x^{2} + x + 3 = 0

Factor

12 x^{3} - 20 x^{2} + x + 3 : (2 x - 1) (3 x + 1) (2 x - 3)

(2 x - 1) (3 x + 1) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 1 = 0 or 3 x + 1 = 0 or 2 x - 3 = 0

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

3 x + 1 = 0 : x = - \frac{1}{3}

Solve

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

The solutions are

x = \frac{1}{2}, x = - \frac{1}{3}, x = \frac{3}{2}

3 x^{4} + 5 x^{3} - 12 x^{2} - 20 x = 0

5 x^{3} + 29 x^{2} + 19 x - 5 = 0

x^{3} + x - 130 = 0

x^{3} - 125

8 x^{4} + 10 x^{3} + 9 x^{2} + x - 1 = 0

What are the solutions to the equation roots 12x^3-20x^2+x+3 ?
The solutions to the equation roots 12x^3-20x^2+x+3 are x= 1/2 ,x=-1/3 ,x= 3/2
Find the zeros of roots 12x^3-20x^2+x+3
The zeros of roots 12x^3-20x^2+x+3 are x= 1/2 ,x=-1/3 ,x= 3/2