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

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

#### Solution

The given quadratic equation is x2 - 5x + 6 = 0
Rewriting the above equation, we have,
x2 - 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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