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
Here are the solutions to the problems: Question 37: Given that x = (3)/(4) ÷ (1)/(2) × (9)/(8), find the value of x. Step 1: Perform the division first, as division and multiplication have equal precedence and are performed from left to right. x = ((3)/(4) ÷ (1)/(2)) × (9)/(8) x = ((3)/(4) × (2)/(1)) × (9)/(8) Step 2: Multiply the fractions. x = (6)/(4) × (9)/(8) Step 3: Simplify the first fraction and then multiply. x = (3)/(2) × (9)/(8) x = (3 × 9)/(2 × 8) = (27)/(16) The calculated value is (27)/(16). This value is not among the given options. Question 38: The roots of a quadratic equation are -(2)/(3) and -(1)/(4). Find the equation. Step 1: Let the roots be = -(2)/(3) and = -(1)/(4). Calculate the sum of the roots. + = -(2)/(3) ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._