What are the solutions to the equation x^4-10x^3+120x+144=0 ?

The solutions to the equation x^4-10x^3+120x+144=0 are x=-2,x=6,x=3+sqrt(21),x=3-sqrt(21)

Find the zeros of x^4-10x^3+120x+144=0

The zeros of x^4-10x^3+120x+144=0 are x=-2,x=6,x=3+sqrt(21),x=3-sqrt(21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 10 x^{3} + 120 x + 144 = 0

x = - 2, x = 6, x = 3 + 21, x = 3 - 21

Decimal

x = - 2, x = 6, x = 7.58257 \dots, x = - 1.58257 \dots

Solution steps

x^{4} - 10 x^{3} + 120 x + 144 = 0

Factor

x^{4} - 10 x^{3} + 120 x + 144 : (x + 2) (x - 6) (x^{2} - 6 x - 12)

(x + 2) (x - 6) (x^{2} - 6 x - 12) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 6 = 0 or x^{2} - 6 x - 12 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 6 = 0 : x = 6

Solve

x^{2} - 6 x - 12 = 0 : x = 3 + 21, x = 3 - 21

The solutions are

x = - 2, x = 6, x = 3 + 21, x = 3 - 21

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

x^{3} - x^{2} - x - 15 = 0

x^{3} + 8 x^{2} + 9 x - 18

x^{4} - 9 x^{2} - 400 = 0

x^{3} + 3 x^{2} + 3 x + 1 = 0

What are the solutions to the equation x^4-10x^3+120x+144=0 ?
The solutions to the equation x^4-10x^3+120x+144=0 are x=-2,x=6,x=3+sqrt(21),x=3-sqrt(21)
Find the zeros of x^4-10x^3+120x+144=0
The zeros of x^4-10x^3+120x+144=0 are x=-2,x=6,x=3+sqrt(21),x=3-sqrt(21)