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Q.

If xy=20 and (x+y)2=70, then x2+y2 is equal to


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a

25

b

35

c

30

d

50  

answer is C.

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Detailed Solution

It is given that (x+y)2=70 and xy=20 We have to find the value of x2+y2,
We know,(x+y)2=x2+y2+2xy ⇒70=x2+y2+(2×20) ⇒x2+y2=70-40 ⇒x2+y2=30 Therefore, the value of x2+y2=30.
Hence, option 3 is correct.
 
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