Q2 of 227 Page 105

Solve the following quadratic equations using quadratic formula.
36x² – 12ax + (a² – b²) = 0

36x² – 12ax + (a² –b²) = 0

⇒ a = 36, b = –12a and c = a² – b²

(–12a)²– 4 (36)(a² – b²)

= 144a² – 144(a² – b²)

= 144a² – 144a² + 144b²

= 144 b²

Solve the following quadratic equations using quadratic formula.

3a²x² – ax –2b² = 0

Solve the following quadratic equations using quadratic formula.

a (x² + 1) = x (a² + 1)

Solve the following quadratic equations using quadratic formula.

a²x² + (a² – b²) x – b² = 0

Solve the following quadratic equations using quadratic formula.36x2 – 12ax + (a2 – b2) = 0