Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x^2-5x+1=0

Step-by-step explanation:

The given quadratic equation is expressed as

3x² - 5x + 1 = 0

The equation is already in the standard form of ax² + bx + c

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 3

b = - 5

c = 1

Therefore,

x = [- - 5 ± √(- 5² - 4 × 3 × 1)]/2 × 3

x = [5 ± √(25 - 12)]/6

x = [5 ± √13]/6