What are the solutions to the equation x^6+6x^5+10x^4=0 ?

The solutions to the equation x^6+6x^5+10x^4=0 are x=0,x=-3+i,x=-3-i

Find the zeros of x^6+6x^5+10x^4=0

The zeros of x^6+6x^5+10x^4=0 are x=0,x=-3+i,x=-3-i

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x^{6} + 6 x^{5} + 10 x^{4} = 0

x = 0, x = - 3 + i, x = - 3 - i

Solution steps

x^{6} + 6 x^{5} + 10 x^{4} = 0

Factor

x^{6} + 6 x^{5} + 10 x^{4} : x^{4} (x^{2} + 6 x + 10)

x^{4} (x^{2} + 6 x + 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 6 x + 10 = 0

Solve

x^{2} + 6 x + 10 = 0 : x = - 3 + i, x = - 3 - i

The solutions are

x = 0, x = - 3 + i, x = - 3 - i

x^{3} - 11 x - 20 = 0

x^{4} - 7 x^{3} + 19 x^{2} - 27 x + 18 = 0

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

3 x^{4} - 6 x^{3} + 2 x - 8 = 0

y^{(4)} - y = 0

What are the solutions to the equation x^6+6x^5+10x^4=0 ?
The solutions to the equation x^6+6x^5+10x^4=0 are x=0,x=-3+i,x=-3-i
Find the zeros of x^6+6x^5+10x^4=0
The zeros of x^6+6x^5+10x^4=0 are x=0,x=-3+i,x=-3-i