Question

If p2 + 4Q2 = 4PQ. then determine P : Q ?

Answer 1

p2 + 4q2 - 4pq = 0
this can be condensed as..
(p - 2q)^2 = 0
p - 2q = 0
p= 2q
p/q = 2... here's ur ans...

hope this helps... PLZ MARK BRAINLIEST

Answer 2

Given,

p² + 4q² = 4pq

⇒ $\frac{p^2+4q^2}{pq}$ = 4

⇒ $\frac{p^2}{pq}+ \frac{4q^2}{pq} = 4$

⇒ $\frac{p}{q} + \frac{4q}{p} = 4$

⇒ $\frac{p}{q} = 4 - \frac{4q}{p}$

⇒ $\frac{p}{q} = \frac{4p - 4q}{p}$

⇒$\frac{p}{q} = \frac{4(p-q)}{p}$

Thus p:q = 4(p-q):p