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

The solutions to the equation x^3+5x^2-2x=0 are x=0,x=(-5+sqrt(33))/2 ,x=(-5-sqrt(33))/2

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

The zeros of x^3+5x^2-2x=0 are x=0,x=(-5+sqrt(33))/2 ,x=(-5-sqrt(33))/2

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

x = 0, x = \frac{- 5 + 33}{2}, x = \frac{- 5 - 33}{2}

Decimal Notation

x = 0, x = 0.37228 \dots, x = - 5.37228 \dots

Solution steps

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

Factor

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

x (x^{2} + 5 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 5 x - 2 = 0

Solve

x^{2} + 5 x - 2 = 0 : x = \frac{- 5 + 33}{2}, x = \frac{- 5 - 33}{2}

The solutions are

x = 0, x = \frac{- 5 + 33}{2}, x = \frac{- 5 - 33}{2}

- λ^{3} + 6 λ^{2} - 11 λ + 6 = 0

x^{3} - x^{2} - 4 x = - 4

x^{4} + 2 x^{2} = 24

y^{3} + y = 2

x, (3 x y - x)^{3} = 6 y^{2}

What are the solutions to the equation x^3+5x^2-2x=0 ?
The solutions to the equation x^3+5x^2-2x=0 are x=0,x=(-5+sqrt(33))/2 ,x=(-5-sqrt(33))/2
Find the zeros of x^3+5x^2-2x=0
The zeros of x^3+5x^2-2x=0 are x=0,x=(-5+sqrt(33))/2 ,x=(-5-sqrt(33))/2