Question

If the distance between the points (P,4) and (2,1) is 5, Then The value of P is.​

Answer 1

Answer:

p=-2, 6

Step-by-step explanation:

the points are (p, 4) and(2,1)

therefore x1=p,x2=2 and y1=4 ,y2=1

d²=(x2-x1) ²+(y2-y1) ²

5²=(2-p) ²+(1-4) ²

25=4+p²-4p+9

25=13+p²-4p

p²-4p-12=0

p²-6p+2p-12=0

p(p-6) +2(p-6) =0

(p+2) (p-6) =0

therefore, p=-2, 6