Question

Solve the problem.....plz​

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{(x,y)=(1,1) \ or \ (-1,-1)}$

$\bold\orange{Given:}$

$\bold{=>x^{8}+y^{8}=8xy-6}$

$\bold\pink{To \ find:}$

$\bold{Values \ of \ x \ and \ y.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{(I)}$

$\bold{x=1 \ and \ y=1}$

$\bold{x^{8}+y^{8}=1^{8}+1^{8}}$

$\bold{=>x^{8}+y^{8}=1+1=2...(1)}$

$\bold{8xy-6=8(1)(1)-6}$

$\bold{=>8xy=8-6=2...(2)}$

$\bold{From \ (1) \ and \ (2)}$

$\bold{x^{8}+y^{8}=8xy-6}$

_____________________________

$\bold{(II)}$

$\bold{x=-1 \ and \ y=-1}$

$\bold{x^{8}+y^{8}=-1^{8}+(-1)^{8}}$

$\bold{=>x^{8}+y^{8}=1+1=2...(3)}$

$\bold{8xy-6=8(-1)(-1)-6}$

$\bold{=>8xy-6=8-6=2...(4)}$

$\bold{From \ (3) \ and \ (4)}$

$\bold{x^{8}+y^{8}=8xy-6}$

$\bold\purple{\tt{\therefore{(x,y)=(1,1) \ or (-1,-1)}}}$

Answer 2

Answer:

see here are two variables and when we want to find out x,y then we MUST have atleast TWO EQUATIONS so the only way to slove this question is hit and trial

Step-by-step explanation:

and after solving through this method we get x=+1 ,-1 and y=+1,-1