Question

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

prove it...​

Answer 1

Answer:

(1/p + 1/q ) + (1/x - 1/(p+q+x)) = 0

((q+p)/pq ) +((p+q+x-x )/x (p+q+x)) =0

p+q (1/pq + 1/x (p+q+x)) =0

shift p+q to RHS

take LCm

(px+qx+x^2+pq)/pqx (p+q+x)=0

shift denominator to RHS

px+qx+x^2+pq=0

x^2+px+qx+pq =0

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

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

(x+p)=0 , x+q=0

x=-p. , x= -q.

Answer 2

Answer:

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