Question

11. Given that x - y = 8, xy = 5, find the value of xsquare+ ysquare
​

Answer 1

Step-by-step explanation:

Solution:

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

x y = 8, ==> (6+y)y = 8,==> 6y + y 22 =8, ==> y 22 + 6y = 8

y 22 + 6y + 9 = 8 + 9, ==> y 22 + 6y + 9 = 17

y 22 + 6y + 9 = 17 , ==> (y + 3) 22 = 17, ==> y + 3 = ±17−−√±17 , ==>

y = ±17−−√±17 -3

xy = 8

x = 8y8y , ==> 8±17√−38±17−3 , ==> 3±17−−√3±17

x 22 + y 22 = ?

(3−17−−√)2+(−3−17−−√)2=52(3−17)2+(−3−17)2=52

(3+17−−√)2+(−3+17−−√)2=52(3+17)2+(−3+17)2=52

Answer is: 52

Answer 2

Step-by-step explanation:

I think there is something wrong in. the queation

thank you