What are the solutions to the equation 2x^3=-98x ?

The solutions to the equation 2x^3=-98x are x=0,x=7i,x=-7i

Find the zeros of 2x^3=-98x

The zeros of 2x^3=-98x are x=0,x=7i,x=-7i

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2 x^{3} = - 98 x

x = 0, x = 7 i, x = - 7 i

Solution steps

2 x^{3} = - 98 x

Move

98 x

to the left side

2 x^{3} + 98 x = 0

Factor

2 x^{3} + 98 x : 2 x (x^{2} + 49)

2 x (x^{2} + 49) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 49 = 0

Solve

x^{2} + 49 = 0 : x = 7 i, x = - 7 i

The solutions are

x = 0, x = 7 i, x = - 7 i

2 x^{3} - 16 x^{2} + 30 x = 0

3 x^{8} - 4 x^{3} = 4

x^{3} + 12 x^{2} + 36 x = 0

x^{4} - 13 x^{2} = - 36

y^{3} + 3 y^{2} = 16 y + 48

What are the solutions to the equation 2x^3=-98x ?
The solutions to the equation 2x^3=-98x are x=0,x=7i,x=-7i
Find the zeros of 2x^3=-98x
The zeros of 2x^3=-98x are x=0,x=7i,x=-7i