Question

Determine x para que os pontos P(x, 2x + 3) seja equidistante dos pontos.
A (1,2) e B (-2,3)

Answer 1

A(1, 2)   P(x, 2x + 3)    B(-2, 3)

(xP - xA)² + ( yP - yA)² = (xP - xB)² + ( yP - yB)²

(x - 1)² + (2x + 3 - 2)²  = (x + 2)² + ( 2x + 3 - 3)²

(x - 1)² + ( 2x + 1)² = (x + 2)² + (2x)²

x² - 2x + 1 + 4x² + 4x + 1 = x² + 4x + 4 + 4x²

-2x =  2

 2x = -2

x = -2/2

x= -1

P(-1, 2(-1) + 3)

P(-1, -2+3)

P(-1, 1)