3. Determine the set of resolutions From the system of equations Y = -x2 + 4x-2 Y = -x + 2
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y = -x + 2
// substitute y //
y = -x² + 4x-2
-x + 2 = -x² + 4x-2
x²-x-4x + 2 + 2 = 0
x²-5x + 4 = 0
(x-1) (x-4) = 0
x-1 = 0
x = 1
x-4 = 0
x = 4
y = - (4) +2
y = -2
y = - (1) +2
y = 1
HP = {x, y}
HP = {1,1} or {4, -2}
So the values of x and y are 1 and 1 or 4 and -2, respectively
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