Question

O CONJUNTO SOLUÇÃO DA EQUAÇÃO x-2 / x-1= RAIZ DE 49 ,no campo dos números racionais Q, é:
A) -6/5
B)-5/6
C)2/3
D) 3/2
E)5/3

Answer 1

$\dfrac{x+2}{x-1} = \sqrt{49} \to\\\\\\ \dfrac{x+2}{x-1} =7 \to~~ multiplique~~cruzado:\\\\\\ 7x-7=x+2\to\\\\7x-x=2+7\to\\\\ 6x=9\to\\\\x= \dfrac{9}{6} \\\\ \boxed{x= \dfrac{3}{2}} \\\\\\\\ Resposta:~~Letra~~D)~\dfrac{3}{2}$