Question

if p/q+q/p=1; then the value of p^3+q^3​

Answer 1

Answer:

Step-by-step explanation:

p/q+q/p=1

p^2+q^2/pq=1

p^2+q^2=pq---(1)

[(p^2+q^2)=(p+q)^2-2pq]

substitute in(1)

(p+q)^2-2pq=pq

p+q=sqrt(3pq)

p^3+q^3=(p+q)(p^2+q^2-pq)

=sqrt(3pq)(pq-pq)

=0