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Question 642: FIND TWO NUMBERS SUCH THAT THEIR SUM IS 6 AND THEIR PRODUCT IS 7
Answer by prabhjyot(165)   (Show Source):
You can put this solution on YOUR website! let the two numbers be x and y
given that x+y=6--------->(1)
and x*y=7----------->(2)
from (2) x=7/y,putting this in equation (1)
we get
7/y+y=6
7+y^2/y =6
7+y^2=6y
Y^2-6y+7=0
solving this we get x=1.58 and -4.41
taking positive value
put the valuein (1)
we get x=4.42
checking 4.42+1.58=6
4.42*1.58=6.998=7
so thex=4.42 y=1.58
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