Find all the rational zeros

Question

Formula: 3x^2 +2

Answer 1

 3 X^2 + 2   is a positive quantity for all values of X, there is no rationl number that makes a positive quantity 0. 

Answer 2

f(x) =3x² + 2

 

If by rational zeros you mean values of x where f(x) goes to zero, there are none.

 

This is an equation of a parabola whose vertex is at (0, 2).  f(x) never gets closer to 0 than that.

Answer 3

The zeros of 3x^2 + 2 are the values of x that make the expression evaluate to zero.

 

Solve 3x^2 + 2 = 0.

 

Subtract 2 from both sides:

 

3x^2 = -2

 

x^2 = -2/3

 

|x| = i √(2/3)

 

x = ± i (√(6))/3

 

The zeros are complex (imaginary) numbers which are not rational. ("Rational" means a ratio (fraction) of integers.) NOT that it matters to the answer, but here even the coefficients of i are irrational.