the number x,8,y are in g.p and numbers x,y,-8 are in a.p find x and y
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x,8,y are in GP
ie 8 sq = xy
xy = 64 eq1)
x,y,-8 are in AP
2y=x-8
y=x-8/2 put in eq1)
x(x-8/2)=64
x sq -8x = 128
x sq - 8x -128=0
x sq - 16x +8x -128=0
x(x-16)+8(x-16)=0
x= 16,-8
If x =16 ans
y=16-8/2=8/4=2ans
ie 8 sq = xy
xy = 64 eq1)
x,y,-8 are in AP
2y=x-8
y=x-8/2 put in eq1)
x(x-8/2)=64
x sq -8x = 128
x sq - 8x -128=0
x sq - 16x +8x -128=0
x(x-16)+8(x-16)=0
x= 16,-8
If x =16 ans
y=16-8/2=8/4=2ans
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