Question

11) If x - y = 12 and xy =6 find x+y​

Answer 1

Answer:

x+y=2√15

Step-by-step explanation:

use squaring formula

as (x-y)^2=x^2+y^2 -2xy

so,6^2=x^2+y^2 -2(6)

so, 36+12=x^2+y^2

so,48=x^2+y^2

now use

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

so,(x+y)^2=48+2(6)

so, (x+y)^2=48+12

so,(x+y)^2=60

so,x+y=2√15