Question 417188: The sum of two numbers equal 8.5 and a product of 18 what are the numbers? Found 2 solutions by stanbon, htmentor:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of two numbers equal 8.5 and a product of 18 what are the numbers?
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x+y = 8.5
xy = 18
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Substitute and solve for "y":
x = 8.5-y
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(8.5-y)y = 18
8.5y-y^2 = 18
y^2-8.5y+18 = 0
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Solve using the quadratic formula.
Then solve for "x";
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Cheers,
Stan H.
You can put this solution on YOUR website! (1) (2)
Solve for x (or y) in (1) ->
Substituting in (2) gives ->
Put in "standard" form and use the quadratic formula: ->
This reduces to or
From (1), if y = 4, x = 4.5 and if y = 4.5, x = 4
So the two numbers are 4 and 4.5
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