What are the solutions to the equation x^2(x-2)^2(x-1)^2=0 ?

The solutions to the equation x^2(x-2)^2(x-1)^2=0 are x=0,x=2,x=1

Find the zeros of x^2(x-2)^2(x-1)^2=0

The zeros of x^2(x-2)^2(x-1)^2=0 are x=0,x=2,x=1

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

x = 0, x = 2, x = 1

Solution steps

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x - 1 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 2, x = 1

x^{3} = 9000

2 = y^{3}

y^{4} + 27 y^{2} - 324 = 0

2 x^{5} - 6 x^{4} - 80 x^{3} = 0

7 y^{3} - 55 y^{2} - 8 y = 0

What are the solutions to the equation x^2(x-2)^2(x-1)^2=0 ?
The solutions to the equation x^2(x-2)^2(x-1)^2=0 are x=0,x=2,x=1
Find the zeros of x^2(x-2)^2(x-1)^2=0
The zeros of x^2(x-2)^2(x-1)^2=0 are x=0,x=2,x=1