Question

I took a test , I don't have the answers available, and i need to know how much did i score.
Topic:- Quadratic equations
Would anyone help me

Answer 1

If alpha and beta are the roots of the equation ax^2+bx+c=0, then the quadratic equation ax^2-bx(x-1)+c(x-1)^2=0 has roots?

Answer 2

My answer:-
\[\huge \frac{ \alpha }{ \alpha+1 } , \frac{ \beta }{ \beta+1 }\]

Answer 3

If the roots of the equation x^2 +2cx +ab =0 are real and unequal, then the roots of the equation x^2-2(a+b)x+(a^2+b^2+2c^2) =0 are:

Answer 4

My answer:
imaginary

Answer 5

If -3+5i is a root of the equation x^2+px+q=0 , then the ordered paire (p,q) is
(p,q belong to real numbers)

Answer 6

My answer:
\[\huge (6,34)\]