Question

a distancia entre os pontos A(2a,-3a) e B(3,2) e raiz de 26.

Answer 1

formula:

D=√(x2-x1)²+(y2-y1)²
√26=√(3-2a)²+(2-(-3a))²   
√26=√(3-2a)·(3-2a)+(2+3a)·(2+3a)
√26=√4a²-6a-6a+9+9a²+6a+6a+4) cancela as raiz 
26=13a²+13
13a²=26-13
13a²=13
a²=13/13
a=√1
a=1

R:a=1