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
Step 1: Identify the condition for equal roots of a quadratic equation. For a quadratic equation in the form Ax^2 + Bx + C = 0, the roots are equal if and only if the discriminant is zero. The discriminant is given by the formula = B^2 - 4AC. Step 2: Apply the condition to the given equation. The given quadratic equation is ax^2 + bx + c = 0. Comparing this to the standard form, we have A = a, B = b, and C = c. Set the discriminant to zero: b^2 - 4ac = 0 Step 3: Solve for c. Add 4ac to both sides of the equation: b^2 = 4ac Divide both sides by 4a to isolate c: c = (b^2)/(4a) Step 4: Compare the result with the given options. The calculated value of c is (b^2)/(4a), which matches option (B). The final answer is (B). Send me the next one 📸