What are the solutions to the equation x^5-2x^4-5x^3+6x^2=0 ?

The solutions to the equation x^5-2x^4-5x^3+6x^2=0 are x=0,x=1,x=-2,x=3

Find the zeros of x^5-2x^4-5x^3+6x^2=0

The zeros of x^5-2x^4-5x^3+6x^2=0 are x=0,x=1,x=-2,x=3

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x^{5} - 2 x^{4} - 5 x^{3} + 6 x^{2} = 0

x = 0, x = 1, x = - 2, x = 3

Solution steps

x^{5} - 2 x^{4} - 5 x^{3} + 6 x^{2} = 0

Factor

x^{5} - 2 x^{4} - 5 x^{3} + 6 x^{2} : x^{2} (x - 1) (x + 2) (x - 3)

x^{2} (x - 1) (x + 2) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 2 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 1, x = - 2, x = 3

x^{3} - 3 x^{2} - 16 x - 12 = 0

4 x^{3} + 3 x^{2} + 64 x + 48 = 0

x^{5} = 1 0^{- 2}

x, x^{5} + 3 x^{2} + 2 x + 1 = 0

2 x = λ \cdot 4 x^{3}

What are the solutions to the equation x^5-2x^4-5x^3+6x^2=0 ?
The solutions to the equation x^5-2x^4-5x^3+6x^2=0 are x=0,x=1,x=-2,x=3
Find the zeros of x^5-2x^4-5x^3+6x^2=0
The zeros of x^5-2x^4-5x^3+6x^2=0 are x=0,x=1,x=-2,x=3