Hello,
Let's be a the greatest number, b the smallest
Method 1:
a+b=37 ==>b=37-a
a*b=36==>a(37-a)=36
==> a²-37a+36=0
==>a²-36a-a+36=0
==>a(a-36)-(a-36)=0
==>(a-36)(a-1)=0
(a=36 and b=37-36=1) or (a=1 and b=37-1=36) but a>b ==>exclude
==>a-b=35
Method 2:
a*b=36
a+b=37 ==>(a+b)²=37²
(a+b)²-4ab=37²-4*36
==>a²+2ab+b²-4ab=1225
==>(a-b)²=35²
==>a-b=35 or a-b=-35 (to exclude since a>b)
Answer:
C
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The price of Stock A at 9 A.M. was $14.72. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $15.22. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?