Solve the following quadratic equation by factorization method : `x^2-5x+6=0`

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#### Solution

The given quadratic equation is x^{2} - 5x + 6 = 0

Rewriting the above equation, we have,

x^{2} - 3x - 2x + 6 =0

x(x - 3) - 2(x - 3)=0

(x - 2)(x - 3)=0

x - 2 = 0 or x - 3 = 0

x = 2 or x = 3

Concept: Solutions of Quadratic Equations by Factorization

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