What are the solutions to the equation x^3-16x^2+60x=0 ?

The solutions to the equation x^3-16x^2+60x=0 are x=0,x=6,x=10

Find the zeros of x^3-16x^2+60x=0

The zeros of x^3-16x^2+60x=0 are x=0,x=6,x=10

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x^{3} - 16 x^{2} + 60 x = 0

x = 0, x = 6, x = 10

Solution steps

x^{3} - 16 x^{2} + 60 x = 0

Factor

x^{3} - 16 x^{2} + 60 x : x (x - 6) (x - 10)

x (x - 6) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 6 = 0 or x - 10 = 0

Solve

x - 6 = 0 : x = 6

Solve

x - 10 = 0 : x = 10

The solutions are

x = 0, x = 6, x = 10

z^{4} + 35 z^{2} - 36 = 0

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

4 x^{4} + 3 x^{3} = 0

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

3 x^{3} + 5 x^{2} = 28 x

What are the solutions to the equation x^3-16x^2+60x=0 ?
The solutions to the equation x^3-16x^2+60x=0 are x=0,x=6,x=10
Find the zeros of x^3-16x^2+60x=0
The zeros of x^3-16x^2+60x=0 are x=0,x=6,x=10