Question

given x square plus y square is equal to 74 and xy is equal to 35 find the value of x + Y and x minus y​

Answer 1

x^2+Y^2=74  (given)

xy=35 (given)

by using the identity (a+b)^2=a^2+b^2+2ab and

      (a-b)^2=a^2+b^2-2ab

substitude the values in the above equations

(x-y)^2=74-2(35)

          =74-70

       =4

rooting both sides

therefore x-y =2

(x+y)^2=74+2(35)

           =74+70

          =144

rooting both sides

therefore x+y=12

Answer 2

Answer:

Step-by-step explanation:

x^2+Y^2=74  (given)

xy=35 (given)

by using the identity (a+b)^2=a^2+b^2+2ab and

      (a-b)^2=a^2+b^2-2ab

substitude the values in the above equations

(x-y)^2=74-2(35)

          =74-70

       =4

rooting both sides

therefore x-y =2

(x+y)^2=74+2(35)

           =74+70

          =144

rooting both sides

therefore x+y=12

Thank you