Solve the equations exactly in the complex number system. (Find one solution graphically and then use the quadratic formula.)
$x^{3} = 19 x - 5 x^{2}$

The solutions are $◻$ .
(Type an integer or a fraction. Use a comma to separate answers as needed.)

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Final Answer: The solutions are $0, \frac{5}{2} - \frac{\sqrt{101}}{2}, \frac{5}{2} + \frac{\sqrt{101}}{2}$

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Step 1 ：Solve the equations exactly in the complex number system. (Find one solution graphically and then use the quadratic formula.)

Step 2 ：The equation is $x^{3} = 19 x - 5 x^{2}$

Step 3 ：Rearrange the equation to $x^{3} - 5 x^{2} - 19 x = 0$

Step 4 ：Solve the equation to find the real roots

Step 5 ：The real roots of the equation are $0$ , $\frac{5}{2} - \frac{\sqrt{101}}{2}$ , and $\frac{5}{2} + \frac{\sqrt{101}}{2}$ . These are the solutions to the equation in the complex number system.

Step 6 ：Final Answer: The solutions are $0, \frac{5}{2} - \frac{\sqrt{101}}{2}, \frac{5}{2} + \frac{\sqrt{101}}{2}$

Solve the equations exactly in the complex number system. (Find one solution graphically and then use the quadratic formula.)x3=19x−5x2 The solutions are ◻.(Type an integer or a fraction. Use a comma to separate answers as needed.)

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Solve the equations exactly in the complex number system. (Find one solution graphically and then use the quadratic formula.)
$x^{3} = 19 x - 5 x^{2}$

The solutions are $◻$ .
(Type an integer or a fraction. Use a comma to separate answers as needed.)