Solve the equation using the quadratic formula. 6x2 - 10x + 3 = 0

6x² - 10x + 3 = 0

x = -b +/- √b² - 4ac / 2a
x = -(-10) +/- √(-10)² - 4(6)(3) / 2(6)
x = 10 +/- √100 - 72 / 12
x = 10 +/- √28 / 12
x = 10 +/- 2√7 / 12
x = 5 +/- √7 / 6

Therefore...

x = 5 + √7 / 6   and   x = 5 - √7 / 6