GIVEN :
(X+Y) =15 , XY=54 THEN
FIND VALUE OF X^2- Y^2
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X+Y=15
XY=54
X=15-Y
XY=54
(15-Y)Y=54
15Y-Y^2=54
Y^2-15Y+54=0
Y^2-9Y-6Y+54=0
Y(Y-9)-6(Y-9)=0
(Y-6)(Y-9)=0
Y=6
Y=9
If Y=6
Then X=9
So
X^2 - Y^2
9^2 - 6^2
81 - 36
45
I hope this helps.
XY=54
X=15-Y
XY=54
(15-Y)Y=54
15Y-Y^2=54
Y^2-15Y+54=0
Y^2-9Y-6Y+54=0
Y(Y-9)-6(Y-9)=0
(Y-6)(Y-9)=0
Y=6
Y=9
If Y=6
Then X=9
So
X^2 - Y^2
9^2 - 6^2
81 - 36
45
I hope this helps.
Answered by
6
Here you go, this is the answer.
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