What are the solutions to the equation m^5-2m^4-m+2=0 ?

The solutions to the equation m^5-2m^4-m+2=0 are m=2,m=i,m=-i,m=-1,m=1

Find the zeros of m^5-2m^4-m+2=0

The zeros of m^5-2m^4-m+2=0 are m=2,m=i,m=-i,m=-1,m=1

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m^{5} - 2 m^{4} - m + 2 = 0

m = 2, m = i, m = - i, m = - 1, m = 1

Solution steps

m^{5} - 2 m^{4} - m + 2 = 0

Factor

m^{5} - 2 m^{4} - m + 2 : (m - 2) (m^{2} + 1) (m + 1) (m - 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m - 2 = 0 or m^{2} + 1 = 0 or m + 1 = 0 or m - 1 = 0

Solve

m - 2 = 0 : m = 2

Solve

m^{2} + 1 = 0 : m = i, m = - i

Solve

m + 1 = 0 : m = - 1

Solve

m - 1 = 0 : m = 1

The solutions are

m = 2, m = i, m = - i, m = - 1, m = 1

x^{3} - 8 x + 6 = 0

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

3 x^{4} - x^{3} + 4 x^{2} - 5 = 0

y^{3} = 18

y^{3} = 14

What are the solutions to the equation m^5-2m^4-m+2=0 ?
The solutions to the equation m^5-2m^4-m+2=0 are m=2,m=i,m=-i,m=-1,m=1
Find the zeros of m^5-2m^4-m+2=0
The zeros of m^5-2m^4-m+2=0 are m=2,m=i,m=-i,m=-1,m=1