The quadratic equation 3x2 5x 1 0 has what type of roots a

The quadratic equation, 3x^2 -5x + 1 = 0 has what type of roots? a. 2 rational b. 2 irrational c. 2 imaginery d. 1 double rational e. none of these

Solution

3x^2 -5x +1 =0

Lets use quadraticformula : x = ( -b +/- sqrt(b^2 -4ac)

in our case : b^2 -4ac = 25 - 4*3*1 = 25 -12 = 13 >0 (real roots)

x = (5 + /- sqrt13)/6 =5/6 +/- sqrt(13)/6

Two Irrational roots

Option b