What are the solutions to the equation r^4+r^3-7r^2-r+6=0 ?

The solutions to the equation r^4+r^3-7r^2-r+6=0 are r=-1,r=1,r=2,r=-3

Find the zeros of r^4+r^3-7r^2-r+6=0

The zeros of r^4+r^3-7r^2-r+6=0 are r=-1,r=1,r=2,r=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

r^{4} + r^{3} - 7 r^{2} - r + 6 = 0

r = - 1, r = 1, r = 2, r = - 3

Solution steps

r^{4} + r^{3} - 7 r^{2} - r + 6 = 0

Factor

r^{4} + r^{3} - 7 r^{2} - r + 6 : (r + 1) (r - 1) (r - 2) (r + 3)

(r + 1) (r - 1) (r - 2) (r + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r + 1 = 0 or r - 1 = 0 or r - 2 = 0 or r + 3 = 0

Solve

r + 1 = 0 : r = - 1

Solve

r - 1 = 0 : r = 1

Solve

r - 2 = 0 : r = 2

Solve

r + 3 = 0 : r = - 3

The solutions are

r = - 1, r = 1, r = 2, r = - 3

4 x - 4 x^{9} = 0

y, (x^{2} + y^{2})^{2} = x^{2} - y^{2}

81 = x^{4}

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

2 x^{4} = 48 x^{2}

What are the solutions to the equation r^4+r^3-7r^2-r+6=0 ?
The solutions to the equation r^4+r^3-7r^2-r+6=0 are r=-1,r=1,r=2,r=-3
Find the zeros of r^4+r^3-7r^2-r+6=0
The zeros of r^4+r^3-7r^2-r+6=0 are r=-1,r=1,r=2,r=-3