Question

If p^3 + 1/p^3 = 0 then find the value of p^2 +1/p^2

Answer 1

Step-by-step explanation:

(p+1/p) ³=p³+1/p³+3(p+1/p)

=0+3(p+1/p)=3(p+1/p)

(p+1/p)³-(p+1/p)=0

(p+1/p)((p+1/p)²-1)=0

(p+1/p) ²-1=0

p²+1/p²+2-1=0

p²+1/p²=-1