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

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

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

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

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

m = - 1, m = 1 + i, m = 1 - i

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

m + 1 = 0 : m = - 1

Solve

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

The solutions are

m = - 1, m = 1 + i, m = 1 - i

(\frac{x + 2}{3})^{4} = 128

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

a^{3} - 6 a^{2} + 15 a + 10 = 0

4 x^{3} - 4 x^{2} - x + 1 = 0

x^{3} + 9 x^{2} + 27 + 19 = 0

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