What are the solutions to the equation x^3-16x^2+64x=0 ?

The solutions to the equation x^3-16x^2+64x=0 are x=0,x=8

Find the zeros of x^3-16x^2+64x=0

The zeros of x^3-16x^2+64x=0 are x=0,x=8

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x^{3} - 16 x^{2} + 64 x = 0

x = 0, x = 8

Solution steps

x^{3} - 16 x^{2} + 64 x = 0

Factor

x^{3} - 16 x^{2} + 64 x : x (x - 8)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 8 = 0

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = 8

16 x^{4} - 145 x^{2} + 324 = 0

x, x^{3} - 5 x + 1 = - 0.8

x^{7} = 168

x^{2} + 2 x - 9 = 2 x^{2} x

j (x) = x^{4}

What are the solutions to the equation x^3-16x^2+64x=0 ?
The solutions to the equation x^3-16x^2+64x=0 are x=0,x=8
Find the zeros of x^3-16x^2+64x=0
The zeros of x^3-16x^2+64x=0 are x=0,x=8