Solve x2 – 17 x + 60 = 0 by factorisation method

Solution: The given equation is _
x2 – 17x + 60 = 0
∴ x2 – 5x – 12x + 60 = 0
∴ x(x – 5) – 12 (x – 5) = 0
∴ (x – 5) (x – 12 ) = 0
∴ x – 5 = 0     OR    x – 12 = 0
∴ x  = 5      or     x  = 12