Question

if (x^2 + y^2) = 14, and xy = 5, find the value of [1/2x + 1/2y]

Answer 1

Answer:

6

Step-by-step explanation:

(1/2x + 1/2y)

squaring the given question

we get,

(1/2x + 1/2y)^2 = 1/4x^2 + 1/4y^2 + 2*1/2*1/2*xy

here taking 1/4 common and 2/2 is 1

 then,

= 1/4(x^2 + y^2) + 1/2(xy)

subsituting the given values

we get,

= 1/4(14) + 1/2(5)

=7/2 + 5/2

=12/2

=6.