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Sagot :
The equation has one zero, and the system has three solutions ( 1 real and 2 complex solutions).
Solution of the polynomial equation
The solution of the polynomial equation is determined as follows;
3x³ + x = 2x² + 1
3x³ - 2x² + x - 1 = 0
[tex]3(x - \frac{2}{9} )^3+ \frac{5}{9} (x - \frac{2}{9} )- \frac{205}{243} = 0\\\\x = 0.78 \ (one \ real \ solution)\\\\x = -0.058-0.65i\\\\x = -0.058+0.65i \ \ (2 \ complex \ solutions)[/tex]
Thus, we can conclude that the equation has one zero (real solution), and the system has three solutions ( 1 real and 2 complex solutions).
Learn more about polynomial equations here: https://brainly.com/question/2833285
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