Q2 of 227 Page 105

Solve the following quadratic equations using quadratic formula.
a²x² + (a² – b²) x – b² = 0

a²x² + (a² – b²)x – b² =0

⇒ a = a² , b = a² – b² and c = –b²

(a² – b²)²– 4 (a²)(–b²)

= (a²)² – 2a²b² + (b²)² + 4a²b²

= (a²)² + 2a²b² + (b²)²

= (a² + b²)²

Solve the following quadratic equations using quadratic formula.

36x² – 12ax + (a² – b²) = 0

Solve the following quadratic equations using quadratic formula.

The sum of a number and its reciprocal is . Find the number.

The difference of the squares of two positive numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.

Solve the following quadratic equations using quadratic formula.a2x2 + (a2 – b2) x – b2 = 0