What are the solutions to the equation x^6-8x^5+12x^4=0 ?

The solutions to the equation x^6-8x^5+12x^4=0 are x=0,x=2,x=6

Find the zeros of x^6-8x^5+12x^4=0

The zeros of x^6-8x^5+12x^4=0 are x=0,x=2,x=6

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x^{6} - 8 x^{5} + 12 x^{4} = 0

x = 0, x = 2, x = 6

Solution steps

x^{6} - 8 x^{5} + 12 x^{4} = 0

Factor

x^{6} - 8 x^{5} + 12 x^{4} : x^{4} (x - 2) (x - 6)

x^{4} (x - 2) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x - 6 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = 2, x = 6

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

2 x^{4} - x^{3} - 14 x^{2} + 19 x - 6 = 0

- 3 x^{4} + 15 x^{2} - 12 = 0

x^{11} + x^{3} = 2

4 x^{3} + 7 x^{2} - 28 x - 49 = 0

What are the solutions to the equation x^6-8x^5+12x^4=0 ?
The solutions to the equation x^6-8x^5+12x^4=0 are x=0,x=2,x=6
Find the zeros of x^6-8x^5+12x^4=0
The zeros of x^6-8x^5+12x^4=0 are x=0,x=2,x=6