What are the solutions to the equation 6x^4=6000x ?

The solutions to the equation 6x^4=6000x are x=0,x=10,x=-5+5sqrt(3)i,x=-5-5sqrt(3)i

Find the zeros of 6x^4=6000x

The zeros of 6x^4=6000x are x=0,x=10,x=-5+5sqrt(3)i,x=-5-5sqrt(3)i

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6 x^{4} = 6000 x

x = 0, x = 10, x = - 5 + 53 i, x = - 5 - 53 i

Solution steps

6 x^{4} = 6000 x

Move

6000 x

to the left side

6 x^{4} - 6000 x = 0

Factor

6 x^{4} - 6000 x : 6 x (x - 10) (x^{2} + 10 x + 100)

6 x (x - 10) (x^{2} + 10 x + 100) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 10 = 0 or x^{2} + 10 x + 100 = 0

Solve

x - 10 = 0 : x = 10

Solve

x^{2} + 10 x + 100 = 0 : x = - 5 + 53 i, x = - 5 - 53 i

The solutions are

x = 0, x = 10, x = - 5 + 53 i, x = - 5 - 53 i

64 j^{6} - 27 j^{9} = 0

x^{3} - 6 x^{2} + 5 x = 0

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

4 x^{3} - 32 = 0

2 x^{3} - x - 1 = 0

What are the solutions to the equation 6x^4=6000x ?
The solutions to the equation 6x^4=6000x are x=0,x=10,x=-5+5sqrt(3)i,x=-5-5sqrt(3)i
Find the zeros of 6x^4=6000x
The zeros of 6x^4=6000x are x=0,x=10,x=-5+5sqrt(3)i,x=-5-5sqrt(3)i