X + y is equals to 36 x into y is equals to 248 what is x and y
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Step-by-step explanation:
Given: x + y = 5 ………….( 1 ) and
xy = 6
=> y = 6/x ,…………(2)
Put value of “y” in equation (1), we get
x +6/x = 5
=> (x.x+ 6)/x = 5
=> (x^2+ 6)/x = 5
=>x^2+ 6 = 5x
=>x^2 -5x+ 6 = 0
=>x^2 -3x -2x+ 6 = 0
=>x(x -3) - 2( x-3) = 0
=> (x -2) ( x-3) = 0
=> x -2= 0 or x-3 = 0
=> x = 2 or x= 3
Put x = 2 in equation (2), we get
y = 6/2 = 3
Put x = 3 in equation (2), we get
y = 6/3 = 2
Check: Put x= 2 and y =3 in equation (1), we get
2 + 3 = 5
=>5 = 5 …………….Proved
Therefore; x = 2 or 3 and
y = 3 or 2 ……………………Answer
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