If c≠0 and the equation p/(2x) = a/(x + c) + b/(x - c) has two equal roots, then p can be

We can write the given equation asp2x=(a+b)x+c(b−a)x2−c2or   px2−c2=2(a+b)x2−2c(a−b)xor   (2a+2b−p)x2−2c(a−b)x+pc2=0For this equation to have equal roots,c2(a−b)2−pc2(2a+2b−p)=0or   (a−b)2−2p(a+b)+p2=0                 ∵c2≠0or   [p−(a+b)]2=(a+b)2−(a−b)2=4abor   p−(a+b)=±2abor   p=a+b±2ab=(a±b)2