Q2 of 227 Page 105

Solve the following quadratic equations using quadratic formula.
a (x² + 1) = x (a² + 1)

a(x² + 1) = x(a² + 1)

⇒ ax² + a = a²x + x

⇒ ax² + a – a²x – x = 0

⇒ ax² – x(a² + 1) + a = 0

⇒ a = a , b = – a² – 1 and c = a

( –a² – 1 )²– 4 (a)(a)

= a⁴ + 2a² + 1 – 4a²

= (a²)² – 2a² + 1

= (a² – 1 )²

Solve the following quadratic equations using quadratic formula.

3a²x² – ax –2b² = 0

Solve the following quadratic equations using quadratic formula.

36x² – 12ax + (a² – b²) = 0

Solve the following quadratic equations using quadratic formula.

Solve the following quadratic equations using quadratic formula.a (x2 + 1) = x (a2 + 1)