Question

the condition that the roots of px^2 - px + q = 0 are in the ratio p:q is?

Answer 1

Did sum of the roots & product of the roots help?

Answer 2

I mean did u try?

Answer 3

no idea

Answer 4

\[\huge{ax^2+bx+c=0}\]
this is the general form of a quadratic equation
in this quadratic equation \[\huge{x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\]

Answer 5

now compare quadratic equation with given equation

Answer 6

u will get that : a = p , b = - p and c =q
right ?

Answer 7

let roots be a and b
sum of roots = a+b = 1
and ab = q/p
or 1/ab = p/q
and you want a/b = p/q
so 1/ab = a/b
=> a=1 or -1 (assuming one of the roots is not 0 i.e. q not equals 0)
for a=1, b=0 => not possible
so a= -1 and b =2 --> req condition
i may be wrong somewhere though,,hmm
you may also that p/q should be -1/2