Find x,if distance between L (x,7) and M(1,15) is 10.

Explanation

`L(x,7)` and `M(1,15)`
`LM=10`
By distance formula.
`LM=sqrt((x-1)^(2)+(7-15)^(2))`
`:.10=sqrt((x-1)^(2)+(-8)^(2))`
Squaring both the sides we get
`:.100=(x-1)^(2)+64`
`:.(x-1)^(2)=100-64`
`:.(x-1)^(2)=36`
`:.x-1=+-6`
........(Taking square roots of both the sides)
Either `x-1=6` or `x-1=-6`
`:.x=6+1` or `x=-6+1`
`:.x=7` or `x=-5`
`x=7` or `x=-5`.