Question

Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Answer 1

Answer:

Option B

Step-by-step explanation:

$(q + p)q = (s + r)s$

Lets open the brackets of L.H.S.

$=> q^2 + pq = (s+ r)s$

Lets substract q² from both the sides.

$=> q^2 + pq - q^2 = (s + r)s - q^2$

$=> pq = (s + r)s - q^2$

Lets divide both the sides by q.

$=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}$

$=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q$