SOLUTION: If the sum of 60% of a fractional nomber and the bombers square root is 5 greater than one fifth of the nomber then the number is?

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Question 950020: If the sum of 60% of a fractional nomber and the bombers square root is 5 greater than one fifth of the nomber then the number is?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the sum of 60% of a fractional number and the number's square root is 5 greater than one fifth of the number, then the number is?
:
Write an equation for what it says (1/5 = .2)
.6n+%2B+sqrt%28n%29+=+5+%2B+.2n
:
sqrt%28n%29+=+5+%2B+.2n+-+.6n
:
sqrt%28n%29+=+5+-+.4n
square both sides
n = (-.4n+5)^2
n = .16n^2 - 2n - 2n + 25
0 = .16n^2 - 4n - n + 25
A quadratic equation
.16n - 5n + 25 = 0
using the quadratic formula; a=.16; b =-5; c=25
The fractional solution:
x = 6.25
:
:\
See if this check's out
.6%286.25%29+%2B+sqrt%286.25%29+=+5+%2B+.2%286.25%29
3.75 + 2.5 = 5 + 1.25
6.25 = 6.25 confirms and also is our solution!