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If xy = 16 and x2+y2=32x^2+y^2=32then the value of x+y=?

A10

B4

C8

D6

Answer:

C. 8

Read Explanation:

(x+y)2=x2+y2+2xy(x+y)^2=x^2+y^2+2xy

(x+y)2=32+2×16(x+y)^2=32+2\times16

=32+32=64=32+32=64

(x+y)=64=8(x+y)=\sqrt{64}=8


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