Question

if x-y=12 and xy=25/4,findx+y​

Answer 1

answer=2√42

Step-by-step explanation:

x-y=12

(x-y)^2=144

x^2+y^2-2xy=144

x^2+y^2-2(25/4)=144

x^2+y^2-25/2=144

x^2+y^2=144+25/2

x^2+y^2=(288+25)/2

x^2+y^2=313/2.....(1)

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

(x+y)^2=(313/2)+2(25/4)

(x+y)^2=(313/2)+(25/2)

(x+y)^2=(313+25)/2

(x+y)^2=336/2

(x+y)^2=168

x+y=√168

x+y=√4 * √42

x+y=2√42