Verify that x-y is a rational number when
i. x= -3/7, y=-2/5
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Asked on December 26, 2019 by
Savneet Jaykumar
If x−y=3 and xy=10, find x
2
+y
2
.
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ANSWER
Given that: x−y=3 And xy = 10
Using the given identity: (a−b)
2
= a
2
−2ab+b
2
So, (x−y)
2
= x
2
−2xy+y
2
⇒ (x−y)
2
= x
2
−2(10)+y
2
⇒ (3)
2
= x
2
−20+y
2
⇒ 9 = x
2
+y
2
−20
⇒ 9+20 =x
2
+y
2
⇒ x
2
+y
2
= 29
The correct answer is x
2
+y
2
=29
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