SOLUTION: FIND TWO NUMBERS SUCH THAT THEIR SUM IS 6 AND THEIR PRODUCT IS 7

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

RELATED QUESTIONS
Find two numbers such that their sum is 6 and their product is... (answered by rothauserc)

Question Help Find two consecutive odd integers such that their product is 107 more (answered by solver91311)

find two consecutive odd integers such that their product is 107 more than 6 times their... (answered by CubeyThePenguin)

The sum ot two numbers is 6 and their product is 7. What is the sum of their... (answered by richard1234)

If the product of two positive numbers is 8 and their sum is 6, find the sum of their... (answered by jhunjiro)

If the product of two positive numbers is 8 and their sum is 6, find the sum of their... (answered by LinnW)

The sum of two consecutive integers is 5/6 of their product.find the two numbers (answered by CubeyThePenguin)

Find two positive numbers so that twice their sum equals their product and one number is... (answered by ovie27)

the sum of two decimal numbers is 5.3 Their difference is 1.7 and their product is 6.3... (answered by CubeyThePenguin)