Quadratic Eqns Flashcards
1
Q
If α, β are roots, eqn is
A
(x-α)(x-β) = 0
2
Q
if 1/α + 1/β are roots eqn are
A
a/x^2 + b/x + c = 0
cx^2 + bx + a = 0
3
Q
if a+b+c = 0 then roots are
A
α = 1 , β = c/a
4
Q
if a-b+c = 0 then roots are
A
α = -1, β = -c/a
5
Q
If roots are mα + mβ
A
a(x/m)^2 + bx/m+ c = 0
6
Q
If α:β = m:n then
A
nmb^2 = (m+n)^2ac
7
Q
If α^n = β
A
(a^nC)^(1/n+1) + (aC^n)^(1/n + 1) + b = 0
8
Q
If a+b+c=0, then
A
a^3 + b^3 + c^3 = 3abc or a^2 c + ac^2 + b^3 = 3abc
9
Q
For the graph of y = ax^2 + bx + c = 0, vertex is
A
-b/2a , -D/2a
10
Q
If x^2+x+1=0 then roots are
A
ω & ω^2
11
Q
α^3 + β^3 =
A
(α+β)^3 - 3αβ(α+β)
12
Q
α+β+γ =
A
-b/a
