What are the solutions to the equation 6x^3-11x^2+28x+5=0 ?

The solutions to the equation 6x^3-11x^2+28x+5=0 are x=-1/6 ,x=1+2i,x=1-2i

Find the zeros of 6x^3-11x^2+28x+5=0

The zeros of 6x^3-11x^2+28x+5=0 are x=-1/6 ,x=1+2i,x=1-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 x^{3} - 11 x^{2} + 28 x + 5 = 0

x = - \frac{1}{6}, x = 1 + 2 i, x = 1 - 2 i

Solution steps

6 x^{3} - 11 x^{2} + 28 x + 5 = 0

Factor

6 x^{3} - 11 x^{2} + 28 x + 5 : (6 x + 1) (x^{2} - 2 x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

6 x + 1 = 0 or x^{2} - 2 x + 5 = 0

Solve

6 x + 1 = 0 : x = - \frac{1}{6}

Solve

x^{2} - 2 x + 5 = 0 : x = 1 + 2 i, x = 1 - 2 i

The solutions are

x = - \frac{1}{6}, x = 1 + 2 i, x = 1 - 2 i

3 y^{6} = 0

x^{3} - 5 x^{2} + 17 x - 13 = 0

12 b^{3} - 11 b^{2} + 2 b = 0

z^{4} + 2 z^{2} = 3 i

185 = 5 x^{3}

What are the solutions to the equation 6x^3-11x^2+28x+5=0 ?
The solutions to the equation 6x^3-11x^2+28x+5=0 are x=-1/6 ,x=1+2i,x=1-2i
Find the zeros of 6x^3-11x^2+28x+5=0
The zeros of 6x^3-11x^2+28x+5=0 are x=-1/6 ,x=1+2i,x=1-2i