Question

if X + Y equal to 5 and x y equal to equal to 6 then find the value of x and y

Answer 1

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Answer 2

Solution:

Given: x+y=5, xy=6

To find: values of x and y,.

x+y=5...(i)

As we know (a+b)²=a²+2ab+b²

same trick here,

(x+y)²=x²+2xy+y²
(5)²=x²+y²+2(6)
25=12+x²+y²
x²+y²=13..(ii)

As, we know (a-b)²=a²-2ab+b²

(x-y)²=x²-2xy+y²
(x-y)²=x²+y²-2xy
(x-y)²=13-2(6)
(x-y)²=13-12
(x-y)²=1
x-y=√1
x-y=1..(iii)

(i)+(iii)=> (x+y)+(x-y)=5+1
                       2x+y-y=6
                              2x=6
                              ∴x=3
(ii)=> x-y=1
          3-y=1
            -y=1-3
            -y=-2
           ∴y=2
                             Hope it Helps