Final answer:
To solve the quadratic equation 3x^2 - 11x + 10 = 0 using the quadratic formula, we substitute the values of a, b, and c into the formula and simplify to find the solutions x = 2 and x = 5/3.
Step-by-step explanation:
To solve the quadratic equation 3x^2 - 11x + 10 = 0, we can use the quadratic formula. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac))/(2a). In this equation, a = 3, b = -11, and c = 10. Plugging these values into the quadratic formula, we get:
x = (-(-11) +/- sqrt((-11)^2 - 4(3)(10)))/(2(3))
Now we simplify the equation:
x = (11 +/- sqrt(121 - 120))/(6)
x = (11 +/- sqrt(1))/(6)
x = (11 +/- 1)/(6)
Therefore, the solutions to the equation are x = 2 and x = 5/3.