Question

The distance between the points (3,1)and (0 ,x) find x

Answer 1

solution:-

Using distance formula ;

the distance between two points A(a,b) and B(c,d)

AB = √ (c-a)² + ( d- b)²

here,

distance between points A(3,1) and B(0,x) is 5

=> 5 = √ (0-3)² + ( x-1)²

=> 25 = 9 + x² +1 -2x

=> x² - 2x -15 = 0

=> x² -5x +3x - 15 = 0

=> x(x-5) +3(x-5) = 0

=> (x+3)(x-5) = 0

=> x+3 = 0 and x-5 = 0

=> x = -3,5 Answer

⭐✡ hope it helps ✡⭐