x-y = 3
xy = 4
find x square + y squarre
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Answer is 17
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namanrjain2004:
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Answered by
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Answer:
Step-by-step explanation:
x-y=3.....(i)
xy=4.......(ii)
From (i), x=3+y.....(iii)
Substitute (iii) in (ii)
so, (3+y)(y)=4
y^2+3y-4=0
Taking sum and product,
Sum=3 , product= -4... its comes 4 and -1
y^2+4y-1y-4=0
y(y+4)-1(y+4)=0
y+4=0 , y-1=0
y= -4 and y= 1..
From (iii),
if y= 1. then x=3+1 = 4
x^2+y^2= (4)^2+(1)^2 = 16+1 = 17
if y= -4 then x=3-4 = -1
x^2+y^2= (-1)^2+(-4)^2 = 1+16 = 17..
HOPE THIS HELPS YOU... PLZ MARK THIS AS BRAINLIEST....
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