Flashcards
Quadratics
Flashcards do conjunto (6)
- 1If the equation ax^2+bx+c=0 has the roots α and β , the sum of the roots (α + β) = .....-b/a
- 2If the equation ax^2+bx+c=0 has the roots α and β , the product of the roots (αβ) = .....c/a
- 3α^2 + β^2 is the same as.....(α + β)^2 - 2αβ
- 4α^3 + β^3 is the same as.....(α + β)^3 - 3αβ(α + β)
- 5If x^2+3x-6=0 , find the sum and products.a=1 , b=3 , c=-6 , and -b/a = sum, c/a = product. So -3/1 = -3 , and -6/1 = -6. Therefore sum = -3 and product = -6
- 6If αβ=7 and α+β=5 , what is α^2β^3+α^3β^2 ?α^2β^2(β+α) , (αβ)^2(β+α) ;
(7)^2(5) = 245