Resposta :
10/x+1=2/x+9/x+2
10/x+1= 2 : x+9/x+2
10/x+1 = 2 . (x+2)/ x+9
10/x+1 = (2x + 4)/x+ 9
10 .(x +9) = (x + 1) . ( 2x + 4)
10x + 90 = 2x² + 4x + 2x + 4
-2x² + 10x - 4x - 2x +90 - 4=0
-2x² + 4x + 86=0 :2
-x² + 2x + 43=0 (-1)
+x² -2x -43 =0
▲= (b)² -4.a.c = (2)² - 4.(1).(-43)= 4 +172 = 176( não existe raiz exata)
10/x+1= 2 : x+9/x+2
10/x+1 = 2 . (x+2)/ x+9
10/x+1 = (2x + 4)/x+ 9
10 .(x +9) = (x + 1) . ( 2x + 4)
10x + 90 = 2x² + 4x + 2x + 4
-2x² + 10x - 4x - 2x +90 - 4=0
-2x² + 4x + 86=0 :2
-x² + 2x + 43=0 (-1)
+x² -2x -43 =0
▲= (b)² -4.a.c = (2)² - 4.(1).(-43)= 4 +172 = 176( não existe raiz exata)