Question

if the distance between the points A (2,-2) and B (-1,x) is equal to 5, then the value of x is

Answer 1

Answer:

distance between the points A and B

AB=√{(2+1)^2+(-2-x)^2}=5

=> √{3^2+(2+x)^2}=5

=> 9+(2+x)^2=25

=> 9+4+4x+x^2=25

=> x^2+4x+13-25=0

=> x^2+4x-12=0

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

=> x(x+6)-2(x+6)=0

=> (x+6)(x-2)=0

=> x+6=0

=> x= -6

again, x-2=0

=> x=2

so, x = -6 , x= 2