Question

alguém sabe?
x/x-2+4/x-1=5

Answer 1

x/x - 2  + 4/x - 1 = 5
m.m.c=(x - 2) (x - 1)
x( x - 1 ) + 4 ( x - 2 ) = 5 (x - 2 ) ( x - 1 ) / (x - 2) ( x - 1 ) cortar o denominador
x² - x + 4 x - 8 =( 5 x - 10) ( x - 1)
x² + 3 x - 8 = 5 x² -15 x +10
5 x² - 15 x + 10 = x² + 3 x - 8
5 x² - x² -  15 x - 3 x + 10  + 8 = 0
4 x² - 18 x +1 8 = 0
Δ = b² - 4 .a . c
Δ = - (-18) - 4 .4  .18
Δ = 324 - 288
Δ = 36
\/¨36 = 6
x =  -b +ou- 6/2.4
x = -(-18) +ou- 6/8
x´= 18 + 6/8
x´= 24/8
x´=3
x" = 18 - 6 /8
x" = 12/8 simplificando
x = 3/2
S = {3/2,3}