the distance between 2 points (k,-4) & (-8,2) is 10 units. then find k
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here √[{k-(-8)}^2+{-4-2)^2]=10
Or, √[(k+8)^2+(-6)^2]=10
Or, √[(k+8)^2+36]=10
Or, (k+8)^2+36=100(squaring both sides)
Or, k^2+16k+64+36=100
Or, k^2+16k+100=100
Or, k^2+16k=0
Or, k(k+16)=0
Hence either k=0
/OR k+16=0
Or, k=-16
Or, √[(k+8)^2+(-6)^2]=10
Or, √[(k+8)^2+36]=10
Or, (k+8)^2+36=100(squaring both sides)
Or, k^2+16k+64+36=100
Or, k^2+16k+100=100
Or, k^2+16k=0
Or, k(k+16)=0
Hence either k=0
/OR k+16=0
Or, k=-16
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