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 solve the quadratic equation x^2 - 3x + 2 = 0, we can use the quadratic formula x = -b ± sqrt(b^2 - 4ac)2a. Step 1: Identify the coefficients a, b, and c. For the equation x^2 - 3x + 2 = 0: a = 1 b = -3 c = 2 Step 2: Substitute these values into the quadratic formula. x = -(-3) ± sqrt((-3)^2 - 4(1)(2))2(1) Step 3: Simplify the expression. x = 3 ± sqrt(9 - 8)2 x = 3 ± sqrt(1)2 x = (3 ± 1)/(2) Step 4: Calculate the two possible values for x. For the positive root: x_1 = (3 + 1)/(2) = (4)/(2) = 2 For the negative root: x_2 = (3 - 1)/(2) = (2)/(2) = 1 The solutions are x = 1 and x = 2. The final answer is x=1, x=2.