Question

If x- y = 2
and xy = 15
then find x+y.​

Answer 1

Answer:

X=5,Y=3

now adding this 5+3=8

now ans=8

Answer 2

Finding the value of x+y:

Step-by-step explanation:

$\ Given \ values:\\\\\ x-y =2.............(i)\\\\\ xy=15\\\\\ Find: x+y= ?\\\\\ Solution:\\\\\ Square \ the \ equation \ (i) \\\\\rightarrow \ (x-y)^2= (2)^2\\\\\ formula:\\\\(a-b)^2=a^2+b^2+2ab\\\\\rightarrow \ x^2+y^2-2xy=4\\\\\therefore \ xy = 15 \\\\\rightarrow \ x^2+y^2-2xy=4\\\\\rightarrow \ x^2+y^2-2\cdot 15=4\\\\\rightarrow \ x^2+y^2=30+4\\\\\rightarrow \ x^2+y^2=34 \\\\\ x+y = ?\\\\\rightarrow (x+y)^2 =x^2+y^2+2xy\\\\\rightarrow (x+y)^2 =34+2\cdot 15$

$\rightarrow (x+y)^2 = 34+30\\\\\rightarrow (x+y)^2 = 64\\\\\rightarrow (x+y)^2 = (8)^2\\\\\rightarrow x+y = 8$

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