Question

for what value (s) of x,the distance between the points p(2,-3) and q(x,5) os 10.​

Answer 1

Answer:

Hope above picture helps..

Another method

It is given that distance between P(2, -3) & Q(x, 5) is 10

In general, the distance between A(x1, y1) & B(x2, y2) is given by,

(AB) ² = (x2-x1) ² + (y2-y1) ²

10² = (x-2) ² + (5+3) ²

(x-2) ² = 36

After simplification,

x = 2±6

= 8,-4