Question

X³ by a³ + a³by x³=p x³by a³- a³by ³=q eliminate x

Answer 1

Explanation:

`(x^3)/(a^3) +(a^3)/(x^3) =p\\(x^3)/(a^3) -(a^3)/(x^3) =q\\adding\\2(x^3)/(a^3) =p+q\\(x^3)/(a^3) =(p+q)/(2) \\substitute~in~first\\(p+q)/(2) +(2)/(p+q) =p\\((p+q)^2+4)/(2(p+q)) =p\\(p+q)^2+4=2p(p+q)\\p^2+q^2+2pq+4-2p^2-2pq=0\\q^2-p^2+4=0\\q^2=p^2-4`