Question

calcule x nas proporções a seguir:

a) x-1/x+2=1/2

b)2x/x+5=4/3

c)x+1/x-2=x-3/x+4

d)3-x/5=1/x+3​

Answer 1

Explicação passo-a-passo:

a) x - 1/ x+2 =1/2

x - 1 = 1/2 × x+2

x - 1 = x+2/2

2(x - 1) = x+2

2x - 2 = x + 2

2x - x = 2 +2

x = 4

b) 2x/x+5 = 4/3

2x = 4/3 × x+5

2x = 4x + 20/3

3 × 2x = 4x + 20

6x - 4x = 20

2x = 20

x = 20/2

x=10

c) x+1/x-2=x-3/x+4

x+1 = x-3 / x+4 × x-2

x+1 = (x-3)× (x-2) / x+4

(x+1) × (x+4) = x² - 5x +6

x² +5x +4 = x² - 5x +6

10x = 2

x = 2/10

x = 1/5

d) 3-x/5 = 1 /x+3

3-x = 1/x+3 × 5

3-x =5/x+3

(3 - x) × (x+3) = 5

3x + 9 - x² - 3x =5

- x² = 5 - 9

-x² = - 4

x² = 4

x = 2