what is the value of a is ?
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the distance between two points is √10.
Given that, (X1,Y1)=(3,a) (X2,Y2)=(4,1)
the formula for distance between two points =
√(X2-X1)²+(Y2-Y1)².
√10=√(4-3)²+(1-a)²
both sides the roots are eliminated
10=(1)²+([1]²+[a]²-[2(1)(a)]
10=1+[1+a²-2a]
10=2+a²-2a
8=a²-2a
8+2a=a²
2a=a²-8
a=(a²-8)/2
therefore,a=(a²-8)/2
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