Obtain the integral values of 
for which the following system of equations possesses real solutions : 
and 
Also, find these solution.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Let 
and 
We have 
and 
Since 
So, Eq. (i) 
i.e. 
Since 
, so 
or 2
But, if 
, then 
.
⇒ Equation (ii) will not be satisfied.
Now, substituting the value of 
from Eq. (i) in the Eq. (ii), we get
Since,
i.e. 
Thus, we conclude that the only value of 
that satisfies all conditions is 
. Substituting 
in Eq. (iii), we get
From Eq. (ii), we get
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