Question

if x+y=6,find the value of x^2+y^2​

Answer 1

Answer:

x²+y²

= (x+y)²-2ab

= (6)²-2ab

= 36-2ab

= 2(18-ab)

Answer 2

Answer:

ANSWER IS 52

Step-by-step explanation:

x - y = 6, ==> x = 6 + y

x y = 8, ==> (6+y)y = 8,==> 6y + y 2  =8, ==> y 2  + 6y = 8

y 2  + 6y + 9 = 8 + 9, ==> y 2  + 6y + 9 = 17

y 2  + 6y + 9 = 17 , ==> (y + 3) 2  = 17, ==> y + 3 =  ±17−−√ , ==>

y =  ±17−−√  -3

xy = 8

x =  8y , ==>  8±17√−3 , ==>  3±17−−√  

x 2  + y 2  = ?

(3−17−−√)2+(−3−17−−√)2=52  

(3+17−−√)2+(−3+17−−√)2=52

Answer is: 52