Question

if the distance between the points (a,3) and (2,5) is 5, find the value of a​

Answer 1

(a - 2)^2 + (3-5)^2= 25

(a -2)^2 = 21

a - 2 = sqrt21 and - sqrt21

a = 2 + sqrt21 and 2 - sqrt 21

Answer 2

Answer:

we know ,

5=root((2-a)^2+(5-3)^2)

squaring on both sides we get,

25=(2-a)^2+4

21=(2-a)^2

a^2-4a-17

by using polynomial equation,

when solve by using polynomial equation then it get imaginary number

,the required root are not possible