The equation has one zero, and the system has three solutions ( 1 real and 2 complex solutions).
<h3>
Solution of the polynomial equation</h3>
The solution of the polynomial equation is determined as follows;
3x³ + x = 2x² + 1
3x³ - 2x² + x - 1 = 0

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: brainly.com/question/2833285
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That statement is true.
There are several definitions about transformation called translation, but the key idea is the gliding or sliding of every point in the plane the same direction.
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<u>Answer:</u> The velocity of released alpha particle is 
<u>Explanation:</u>
According to law of conservation of momentum, momentum can neither be created nor be destroyed until and unless, an external force is applied.
For a system:

where,
= Initial mass and velocity
= Final mass and velocity
We are given:

Putting values in above equation, we get:

Hence, the velocity of released alpha particle is 