Question

Which are the roots of the equation 3m^2-5m+1=0

Answer 1

-(-5) ± √13 5 ± √13

x = ----------------------- = ---------------

2(3) 6

Explanation:

This is a quadratic equation, with coefficients 3, -5 and 1.

The discriminant, b² - 4ac, turns out to be (-5)² - 4(3)(1), or 25 - 12 = 13

Thus, the roots are:

-(-5) ± √13 5 ± √13

x = ----------------------- = ---------------

2(3) 6