Relation Between Roots Of Quadratic Equations

Question 1

What is the formula for sum of roots (α+β)?

Answer 1

α+β = -b/a

Question 2

What is the formula for product of roots (αβ) ?

Answer 2

αβ = c/a

Question 3

What is α² + β²

Answer 3

α² + β² = (α + β)² - 2αβ

Question 4

What is α - β ?

Answer 4

( (α + β)² - 4αβ )^½

Question 5

What is α³ + β³ ?

Answer 5

(α + β)³ - 3αβ(α + β)

Question 6

What is α³ - β³ ?

Answer 6

(α - β)[ (α + β)² - αβ ]