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 given equation. The equation is 2x^2 - 5x + 3 = 0. Step 2: Use the quadratic formula to solve for x. The quadratic formula is x = -b ± sqrt(b^2 - 4ac)2a. In this equation, a=2, b=-5, and c=3. Step 3: Substitute the values of a, b, and c into the quadratic formula. x = -(-5) ± sqrt((-5)^2 - 4(2)(3))2(2) Step 4: Simplify the expression under the square root (the discriminant). x = 5 ± sqrt(25 - 24)4 x = 5 ± sqrt(1)4 Step 5: Calculate the two possible values for x. x_1 = (5 + 1)/(4) = (6)/(4) = (3)/(2) x_2 = (5 - 1)/(4) = (4)/(4) = 1 The solutions are x = (3)/(2) and x = 1. x = (3)/(2), 1 Got more? Send 'em 📸