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.
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multipleQuestions newQuestion Solve the quadratic x^2 - 5x + 6 = 0 newAnswer The solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 2 and x = 3. Steps: 1. Factor the quadratic equation: We need to find two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of the x term). The numbers are -2 and -3. So, the equation can be factored as: (x - 2)(x - 3) = 0 2. Set each factor equal to zero and solve for x: x - 2 = 0 x = 2 x - 3 = 0 x = 3 Therefore, the solutions are x = 2 and x = 3.