Question

1/x+p+q=1/x+1/p+1/q
Find value of x​

Answer 1

Given ,

1/x + p + q = 1/x + 1/p + 1/q

(1 + px + qx)/x = (pq + qx + px)/xpq

(1 + px + qx)(pq) = pq + qx + px

pq + p²qx + q²px = pq + qx + px

p²qx + q²px - qx - pq = 0

pqx(p + q) - q(x + p) = 0

so , pqx = 0 (or) x = -p (or) px = 1

the value of x which satisfies each equation is 1

so , x=1