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

User Daanvn
by
2.8k points

1 Answer

8 votes
8 votes

Answer:


hj = 11

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 = (22)/(2)


  • \implies hj = 11
User Micheline
by
3.0k points
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