Question

Find Y so that (x,x+4) is equidistant from (0,5) and (8,-1)

Answer 1

use distance formula without the square roots and solve the resulting quadratic equation. you get
\[(x-0)^2+(x+4-5)^2=(x-8)^2+(x+4+1)^2\]
\[x^2+(x-1)^2 = (x-8)^2+(x+5)^2\]
\[ 2x^2-2x+1=2 x^2-6 x+89\]
\[4x=88\]
\[x=22\]

Answer 2

thanks.