What are the solutions to the equation 2x^3-11x^2+17x-6=0 ?

The solutions to the equation 2x^3-11x^2+17x-6=0 are x=2,x= 1/2 ,x=3

Find the zeros of 2x^3-11x^2+17x-6=0

The zeros of 2x^3-11x^2+17x-6=0 are x=2,x= 1/2 ,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{3} - 11 x^{2} + 17 x - 6 = 0

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

Decimal Notation

x = 2, x = 0.5, x = 3

Solution steps

2 x^{3} - 11 x^{2} + 17 x - 6 = 0

Factor

2 x^{3} - 11 x^{2} + 17 x - 6 : (x - 2) (2 x - 1) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

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

Solve

x - 3 = 0 : x = 3

The solutions are

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

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

y, x = (y + 5)^{3}

y^{4} = 15 y^{2} - 44

10 x^{3} + 70 x^{2} + 120 x = 0

k^{3} = 27

What are the solutions to the equation 2x^3-11x^2+17x-6=0 ?
The solutions to the equation 2x^3-11x^2+17x-6=0 are x=2,x= 1/2 ,x=3
Find the zeros of 2x^3-11x^2+17x-6=0
The zeros of 2x^3-11x^2+17x-6=0 are x=2,x= 1/2 ,x=3