This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Zerah, good to see you again. Here's the solution for question 34. Step 1: Identify the condition for equal roots. For a quadratic equation Ax^2 + Bx + C = 0 to have equal roots, the discriminant must be zero. The discriminant is given by = B^2 - 4AC. Step 2: Apply the condition to the given equation. The given quadratic equation is 2x^2 - 6x + 3a = 0. Comparing this to Ax^2 + Bx + C = 0, we have: A = 2 B = -6 C = 3a Set the discriminant to zero: B^2 - 4AC = 0 (-6)^2 - 4(2)(3a) = 0 Step 3: Solve for a. 36 - 24a = 0 36 = 24a a = (36)/(24) a = (3 × 12)/(2 × 12) a = (3)/(2) The value of a for which the quadratic equation has equal roots is (3)/(2). The correct option is D. D Send me the next one 📸