Question

The distance between the points A(2,-2) and B(-1,x) is 5 then one of the value of x is​

Answer 1

Step-by-step explanation:

root { (-1-2)^2 + { (x+2)^2 } = 5

root { 9 + x^2+4 + 4x } = 5

13 + x^2 +4x = 25

x^2 +4x - 12 = 0

x^2 +6x -2x -12 = 0

x { x +6 } -2 { x + 6} =0

x = 2 answer

Answer 2

Answer-

Distance formula =

$\sqrt{(x1 - x2) ^{2} + (y1 - y2) ^{2} }$

Distance is 5 (given)

5 = √[2-(-1)]2 + [-2-x]2

25= 9+4+x2+4x

x2+4x-12=0

solve this