Question

solre for s 1/p+q+x=1/p+1/q+1/x​

Answer 1

Answer:

- p  or  - q

Step-by-step explanation:

⇒ 1 / ( p + q + x ) = 1 / p + 1 / q + 1 / x

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

⇒ [ x - ( p + q + x ) ] / ( p + q + x )x = ( p + q ) / pq

⇒ [ x - p - q - x ] / ( p + q + x )x = ( p + q ) / pq

⇒ [ - p - q ] / ( p + q + x )x = ( p + q ) / pq

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

⇒ - 1 / ( p + q + x )x = 1 / pq

⇒ - pq = ( p + q + x )x

⇒ - pq = px + qx + x^2

⇒ x^2 + px + qx + pq = 0

⇒ x( x + p ) + q( x + p ) = 0

⇒ ( x + q )( x + p ) = 0

⇒ x = - p  or  x = - q