What are the solutions to the equation x^5+64x^2=0 ?

The solutions to the equation x^5+64x^2=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i

Find the zeros of x^5+64x^2=0

The zeros of x^5+64x^2=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i

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x^{5} + 64 x^{2} = 0

x = 0, x = - 4, x = 2 - 23 i, x = 2 + 23 i

Solution steps

x^{5} + 64 x^{2} = 0

Factor

x^{5} + 64 x^{2} : x^{2} (x^{3} + 64)

x^{2} (x^{3} + 64) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} + 64 = 0

Solve

x^{3} + 64 = 0 : x = - 4, x = 2 - 23 i, x = 2 + 23 i

The solutions are

x = 0, x = - 4, x = 2 - 23 i, x = 2 + 23 i

x, 5 x^{3} - 8 = 2 y^{2}

x (3 + x)^{4} + (3 - x)^{4} = 386

t^{6} - t^{2} = 0

2 x^{3} + 3 x^{2} + 50 x + 75 = 0

x^{4} - x^{2} - 18 = 0

What are the solutions to the equation x^5+64x^2=0 ?
The solutions to the equation x^5+64x^2=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i
Find the zeros of x^5+64x^2=0
The zeros of x^5+64x^2=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i