Answer:
x=5orx=−1
Explanation:
The distance between two points (x1,y1)and(x2,y2) is
D=√(x1−x2)2+(y1−y2)2 or
5=√(x−2)2+(3+1)2 squaring both sides we get ,
(x−2)2+(3+1)2=25orx2−4x+4+16−25=0 or
x2−4x−5=0orx2−5x+x−5=0 or
x(x−5)+1(x−5)=0or(x−5)(x+1)=0
∴x=5orx=−1
The point is (5,3)or(−1,3) [Ans]
