What are the solutions to the equation r^3+r^2-r-1=0 ?

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

Find the zeros of r^3+r^2-r-1=0

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

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

r = - 1, r = 1

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r + 1 = 0 or r - 1 = 0

Solve

r + 1 = 0 : r = - 1

Solve

r - 1 = 0 : r = 1

The solutions are

r = - 1, r = 1

x^{4} - x^{2} + \frac{1}{4} = 0

x^{3} - 12 x + 11 = 0

7 x^{3} - x^{2} - 7 x + 1

4 s^{3} + 15 s^{2} + 18 s + 5 = 0

x^{4} + 5 x^{2} = 6

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