Question

Solve 2x^2 - 7x + 3 = 0 using the quadratic formula.

Solution

1. Here a = 2, b = -7, and c = 3.
2. The discriminant is b^2 - 4ac = 49 - 24 = 25, and its square root is 5.
3. x = (7 ± 5) / 4.
4. So x = 12/4 = 3 or x = 2/4 = 1/2.