If x2 + y2 – 2x +4y=-5, then what are the values of x and y?
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Answer:
x = 1 & y = -4
Step-by-step explanation:
x²+y²-2x+4y=-5
or, x²+y²-2x+4y+5=0
or, x²-2x+1+y²+4y+4=0
or, (x-1)²+(y+4)²=0
we know that if the sum of two square value is 0 then the individual square value is 0
so
(x-1)²=0
x-1=0
x=1
and
(y+4)²=0
y+4=0
y= -4
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