Question

Aflati x din proporțiile:

a) x+1/2x+1=6/11
b) x+5/34=x/11
c) 5^22+5^21+5^20/62=25^10/x

Answer 1

a)

$\frac{x + 1}{2x + 1} = \frac{6}{11}$

$12x + 6 = 11x + 11$

$x + 6 = 11$
$x = 5$

b) 11x+55=34x
55=23x
x=55/23

c) 5^20(5^2+5+1)/62=5^20/x
5^20×31/62=5^20/x
5^20×31× x=62×5^20
31x=62
x=2