Solve the equation x² − 5x +چ 6 = 0

Assuming the extra character چ is a typo, the equation is

\[ x^2-5x+6=0. \]

Answer: \(x=2\) or \(x=3\).

How to solve it

1. Look for two numbers whose product is \(6\) and whose sum is \(-5\): \[ -2 \cdot (-3)=6,\qquad -2+(-3)=-5. \]

2. Factor: \[ x^2-5x+6=(x-2)(x-3). \]

3. Use the zero-product rule: \[ (x-2)(x-3)=0, \] so \[ x-2=0 \quad\text{or}\quad x-3=0. \]

Thus, \[ x=2 \quad\text{or}\quad x=3. \]

Check: \[ 2^2-5\cdot2+6=4-10+6=0, \] \[ 3^2-5\cdot3+6=9-15+6=0. \]

Both values work.