Question

If x²+y²=100, xy=48 then find the value of 'x' and 'y')​

Answer 1

Answer:

x=8 and y=6

Step-by-step explanation:

xy=48

then 2xy=2*48

2xy=96 eq1

Adding both eq

x²+y²=100

+ 2xy=96

x²+y²+2xy=196

(x+y)²=(14)²

x+y=14 eq2

Similarly on subtraction

x²+y²=100

-. 2xy=96

x²+y²-2xy=4

(x-y)²=(2)²

x-y=2

x=2+y

then put the value of x in eq1

2+y+y=14

y=6

x=8