What are the solutions to the equation roots x^3-11x^2+43x-65 ?

The solutions to the equation roots x^3-11x^2+43x-65 are x=5,x=3+2i,x=3-2i

Find the zeros of roots x^3-11x^2+43x-65

The zeros of roots x^3-11x^2+43x-65 are x=5,x=3+2i,x=3-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

x^{3} - 11 x^{2} + 43 x - 65

x = 5, x = 3 + 2 i, x = 3 - 2 i

Solution steps

x^{3} - 11 x^{2} + 43 x - 65

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 11 x^{2} + 43 x - 65 = 0

Factor

x^{3} - 11 x^{2} + 43 x - 65 : (x - 5) (x^{2} - 6 x + 13)

(x - 5) (x^{2} - 6 x + 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x^{2} - 6 x + 13 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} - 6 x + 13 = 0 : x = 3 + 2 i, x = 3 - 2 i

The solutions are

x = 5, x = 3 + 2 i, x = 3 - 2 i

x^{4} + 9 x^{3} + 19 x^{2} - 18 x - 56 = 0

x^{3} - 4 x^{2} + x - 4

x^{3} - 9 x^{2} + 11 x + 21 = 0

- 1 x^{3} + 11 x^{2} - 32 x + 28 = 0

x^{3} - 8 x^{2} + 22 x - 20 = 0

What are the solutions to the equation roots x^3-11x^2+43x-65 ?
The solutions to the equation roots x^3-11x^2+43x-65 are x=5,x=3+2i,x=3-2i
Find the zeros of roots x^3-11x^2+43x-65
The zeros of roots x^3-11x^2+43x-65 are x=5,x=3+2i,x=3-2i