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

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

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

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

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

r = 1, r = - 2

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r - 1 = 0 or r + 2 = 0

Solve

r - 1 = 0 : r = 1

Solve

r + 2 = 0 : r = - 2

The solutions are

r = 1, r = - 2

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

2 x^{4} - 3 x^{3} - 7 x^{2} + 12 x - 4 = 0

\frac{1}{4} x^{4} = 4

x^{3} - 3 x^{2} - 7 x + 21 = 0

(9 x - 3)^{4} - 2 = 0

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