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 to solve is 2x^2 - 8x + 6 = 0. Step 2: Simplify the equation by dividing all terms by 2. (2x^2)/(2) - (8x)/(2) + (6)/(2) = (0)/(2) x^2 - 4x + 3 = 0 Step 3: Factor the quadratic equation. We need two numbers that multiply to 3 and add to -4. These numbers are -1 and -3. (x - 1)(x - 3) = 0 Step 4: Set each factor equal to zero and solve for x. For the first factor: x - 1 = 0 x = 1 For the second factor: x - 3 = 0 x = 3 The solutions are x = 1 and x = 3. x = 1, x = 3 x=1, x=3 Got more? Send 'em 📸