Question

Find formula of alpha square +beta square and alpha cube+beta cube and hence derive it

Answer 1

Step-by-step explanation:

Let alpha be a and beta be b

a² + b² = a² + b² + 2ab - 2ab

= (a² + b² + 2ab) - 2ab

= (a + b)² - 2ab

We know that

Alpha + betA = -b/a

Alpha x betA = c/a

Therefore

a² + b² = (-b/a)² - 2(c/a)

= b²/a² - 2c/a

= b²/a² - 2ac/a²

= (b² - 2ac)/a²