Quadratic equations
Equations and inequalities · Mathematics
Study notes
Q: Solve 2x^2 - 7x + 3 = 0 using the quadratic formula. Step 1: a = 2, b = -7, c = 3. Step 2: D = 49 - 24 = 25. √D = 5. Step 3: x = (7 ± 5)/4. So x = 12/4 = 3 or x = 2/4 = 1/2. Step 4: Check: 2(9) - 21 + 3 = 0. Correct! Roots: 3, 1/2.