Final answer:
The quadratic equation 0 = 3x² − 8x + 5 can be solved using the quadratic formula, yielding the solutions x = 1 and x = 5/3.
Step-by-step explanation:
To solve the given quadratic equation, 0 = 3x² − 8x + 5, we need to use the quadratic formula, which is x = −b ± √(b² - 4ac) / (2a). In this equation, a = 3, b = -8, and c = 5. Plugging these values into the formula, we get:
x = −(-8) ± √((-8)² - 4(3)(5)) / (2(3))
x = 8 ± √(64 - 60) / 6
x = 8 ± √(4) / 6
x = 8 ± 2 / 6
So, the two possible values for x are:
x = (8 + 2) / 6 = 10 / 6 = 5/3
x = (8 - 2) / 6 = 6 / 6 = 1
Therefore, the solutions to the equation are x = 1 and x = 5/3.
Therefore answer is B. x = 1, 5/3.