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
To calculate (1)/() + (1)/() for the given quadratic equation 2x^2 - 10x + 8 = 0, we first find the sum and product of the roots. Step 1: Identify the coefficients of the quadratic equation. For a quadratic equation ax^2 + bx + c = 0, we have: a = 2 b = -10 c = 8 Step 2: Calculate the sum of the roots ( + ). The sum of the roots is given by the formula + = -(b)/(a). + = -(-10)/(2) = (10)/(2) = 5 Step 3: Calculate the product of the roots ( ). The product of the roots is given by the formula = (c)/(a). = (8)/(2) = 4 Step 4: Simplify the expression (1)/() + (1)/() and substitute the values. To add the fractions, find a common denominator: (1)/() + (1)/() = ()/( ) + ()/( ) = ( + )/( ) Now, substitute the values found in Step 2 and Step 3: ( + )/( ) = (5)/(4) The calculated value is (5)/(4). Comparing this with the given options, it matches option A. The final answer is A. (5)/(4). Send me the next one 📸