What are the solutions to the equation x^4-6x^3+9x^2=0 ?

The solutions to the equation x^4-6x^3+9x^2=0 are x=0,x=3

Find the zeros of x^4-6x^3+9x^2=0

The zeros of x^4-6x^3+9x^2=0 are x=0,x=3

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x^{4} - 6 x^{3} + 9 x^{2} = 0

x = 0, x = 3

Solution steps

x^{4} - 6 x^{3} + 9 x^{2} = 0

Factor

x^{4} - 6 x^{3} + 9 x^{2} : x^{2} (x - 3)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 3

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

4 x^{3} + 5 x^{2} + 36 x + 45 = 0

- h^{3} - 4 = 13

x^{5} + x = 1

- 35 x^{6} = (- 5 x^{2}) (B)

What are the solutions to the equation x^4-6x^3+9x^2=0 ?
The solutions to the equation x^4-6x^3+9x^2=0 are x=0,x=3
Find the zeros of x^4-6x^3+9x^2=0
The zeros of x^4-6x^3+9x^2=0 are x=0,x=3