Question

If h and j are positive, (h+j)2 = 73 and h2 +j2 = 51, what is hj?

Answer 1

Answer:

$hj = 11$

Step-by-step explanation:

• $(h+j)^2=73,\:\: and\:\: h^2+j^2 =51$ (Given)

• $(h+j)^2 = h^2+j^2 +2hj$

• $\implies 73= 51 +2hj$

• $\implies 73- 51 =2hj$

• $\implies 22 =2hj$

• $\implies hj = \frac{22}{2}$

• $\implies hj = 11$