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

(x^{2} - 3 x)^{2} - (x^{2} - 3)^{2} - 8 = 0

x^{2} (2 x + 3) = 35

(3 x - 2) (x + 1)^{2} (3 x + 8) = 16

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

(x^{2} + x) (x^{2} - x) = (x - 2)^{2} + x (x + 4)

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