What are the solutions to the equation r^4-2r^3+10r^2-18r+9=0 ?

The solutions to the equation r^4-2r^3+10r^2-18r+9=0 are r=1,r=3i,r=-3i

Find the zeros of r^4-2r^3+10r^2-18r+9=0

The zeros of r^4-2r^3+10r^2-18r+9=0 are r=1,r=3i,r=-3i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

r^{4} - 2 r^{3} + 10 r^{2} - 18 r + 9 = 0

r = 1, r = 3 i, r = - 3 i

Solution steps

r^{4} - 2 r^{3} + 10 r^{2} - 18 r + 9 = 0

Factor

r^{4} - 2 r^{3} + 10 r^{2} - 18 r + 9 : (r - 1)^{2} (r^{2} + 9)

(r - 1)^{2} (r^{2} + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r - 1 = 0 or r^{2} + 9 = 0

Solve

r - 1 = 0 : r = 1

Solve

r^{2} + 9 = 0 : r = 3 i, r = - 3 i

The solutions are

r = 1, r = 3 i, r = - 3 i

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

x, y + 3 = x^{3}

x, y^{4} = - x^{4}

x^{3} - 5 x^{2} - 50 x = 0

s^{3} + 132 s^{2} + 1540 s + 12000 = 0

What are the solutions to the equation r^4-2r^3+10r^2-18r+9=0 ?
The solutions to the equation r^4-2r^3+10r^2-18r+9=0 are r=1,r=3i,r=-3i
Find the zeros of r^4-2r^3+10r^2-18r+9=0
The zeros of r^4-2r^3+10r^2-18r+9=0 are r=1,r=3i,r=-3i