Help: Simultaneous Equation...!
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Help: Simultaneous Equation...!

[From: ] [author: ] [Date: 12-12-14] [Hit: ]
y = 2.5 , 0.x * y = 1.......
I need help on this because i am unsure what the question meant? Can someone teach me how to do this?

The sum and product of two numbers x and y are 3 and 1.25 respectively. Form two seperate equations involving x and y and solve them to obtain the possible values of x and y.

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The sum and product of two numbers
x and y are 3 and 1.25 respectively.
x + y = 3
xy = 1.25
x(3 - x) = 1.25
4x^2 - 12x + 5 = 0
4x^2 - 10x - 2x + 5 = 0
2x(2x - 5) - (2x - 5) = 0
(2x - 5)(2x - 1) = 0
Solutions:
x = 1/2, y = 5/2
x = 5/2, y 1/2

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x + y = 3 => y = 3 - x
xy = 1.25
3x - x^2 = 1.25
x^2 - 3x + 1.25 = 0
(x - 0.5)(x - 2.5) = 0
x = 0.5 , 2.5
y = 2.5 , 0.5

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x + y = 3

x * y = 1.25
1
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