Question

If xy = 48 and x2 + y2 = 100, then (x + y) is

A) 12 B) 16 C) 18 D) 14

Answer 1

Answer:

Given,

xy =48

x^2+y^2= 100

to find=?

using identity

(a+b)^2=a^2+b^2+2ab

put in values

(a+b)^2=100+2×48

=100+96

=196

(a+b)^2 =196

sq.root on both side

root(a+b)^2=root196

(a+b)=14

so,the answer is 14

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