2) If x,y satisfy the equation yx=xy and x=2y then x2+y25= 5) If the product of the roots of the - Maths - Relations and Functions

Question

2 )   I f   x , y   s a t i s f y   t h e
  e q u a t i o n   y x = x y   a n d   x = 2 y
  t h e n   x 2 + y 2 5 = ? 5 )   I f   t h e
  p r o d u c t   o f   t h e   r o o t s
  o f   t h e   e q u a t i o n   x 2 + 3 k x +
2 e 2 k n k - 1 = 0   i s   7 ,   t h e n   t h
e   r o o t s   a r e   r e a l   f o r  
k = ?

Ankita Agarwal · Accepted Answer

Dear Student,

Answer 5
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Regrads

2 ) I f x , y s a t i s f y t h e e q u a t i o n y x = x y a n d x = 2 y t h e n x 2 + y 2 5 = ? 5 ) I f t h e p r o d u c t o f t h e r o o t s o f t h e e q u a t i o n x 2 + 3 k x + 2 e 2 k n k - 1 = 0 i s 7 , t h e n t h e r o o t s a r e r e a l f o r k = ?

$2) I f x, y s a t i s f y t h e e q u a t i o n y^{x} = x^{y} a n d x = 2 y t h e n \frac{x^{2} + y^{2}}{5} = ? 5) I f t h e p r o d u c t o f t h e r o o t s o f t h e e q u a t i o n x^{2} + 3 k x + 2 e^{2 k n k} - 1 = 0 i s 7, t h e n t h e r o o t s a r e r e a l f o r k = ?$