Q1 of 83 Page 90

Solve the following quadratic equations using factorization:

x2 — 7x — 60 = 0

x2 – 7x – 60 = 0

⇒ x2 – (12 – 5)x – 60 = 0


⇒ x2 – 12x + 5x – 60 = 0


⇒ x(x – 12) + 5(x – 12) = 0


⇒ (x – 12)(x + 5) = 0


⇒ x – 12 = 0 or x + 5 = 0


⇒ x = 12 or x = – 5


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