Question

If (x,4) is equidistant from (5,-2) and (3,4) find x​

Answer 1

Answer:x=13

Step-by-step explanation

√(x-5)²+(4-(-2))²

=√(x-3)²+(4-4)²

Squaring both the sides

(x-5)²+(4-(-2))²=√(x-3)²+(4-4)²

(x²+25-10x)+(6)²=(x²+9-6x)+(0)²

x²+25-10x+36=x²+9-6x+0

61-10x=9-6x

6x-10x=9-61

-4x=-52

4x=52

x=52/4

x=13