The value x = 7 is a solution to each of the following except what.
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Guven that the <span>distance
d that a certain particle moves may be calculated from the expression 
where a and b are constants; and t is the elapsed time.
Distance is a length and hence the dimension of distance is L.
Now,
and 
also will have the dimension of L.
</span><span>Time has a dimension of T.
For, let the dimension of 
be 
, then
For, let the dimension of 
be 
, then
Therefore, the dimension of is 
while the dimension of is 
.
</span>
Distance is a length and hence the dimension of distance is L.
Now,
</span><span>Time has a dimension of T.
For
For
Therefore, the dimension of
</span>