Solve the following equation by factoring: (x^2 - 5x + 6 = 0)

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Accepted Answer

Step:1 ：First we need to factor the quadratic equation. The factors of 6 that add up to -5 are -2 and -3. So, we can write the equation as: (x^2 - 2x - 3x + 6 = 0)Step:2 ：Now, we can factor by grouping: ((x^2 - 2x) - (3x - 6) = 0)Step:3 ：This simplifies to: (x(x - 2) - 3(x - 2) = 0)Step:4 ：So, we get: ((x - 2)(x - 3) = 0)Step:5 ：Setting each factor equal to zero gives the solutions: (x - 2 = 0) or (x - 3 = 0)

Answer

Step: 1 ：First we need to factor the quadratic equation. The factors of 6 that add up to -5 are -2 and -3. So, we can write the equation as: (x^2 - 2x - 3x + 6 = 0)Step: 2 ：Now, we can factor by grouping: ((x^2 - 2x) - (3x - 6) = 0)Step: 3 ：This simplifies to: (x(x - 2) - 3(x - 2) = 0)Step: 4 ：So, we get: ((x - 2)(x - 3) = 0)Step: 5 ：Setting each factor equal to zero gives the solutions: (x - 2 = 0) or (x - 3 = 0)

Solve the following equation by factoring: \(x^2 - 5x + 6 = 0\)

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