Question

ex 14 va rog dau coroana

Answer 1

Răspuns:

Explicație pas cu pas:

a = 13b/12

4a + b = 4*13b/12 + b = 13b/3 + 3b/3 = 16b/3

4a - 3b = 13b/3 - 9b/3 = 4b/3

(4a + b)/(4a - 3b) = 16b/3 : 4b/3 = 16b/3 *3/4b = 4 = 2^2

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3^k+2 + 6^k+2 = 3^k+2 + 3^k+2 *2^k+2 = 3^k+2*(1 + 2^k+2)

5*k+2 + 10^k+2 =5^k+2 + 5^k+2 *2^k+2 = 5^k+2*(1 + 2^k+2)

(3^k+2 + 6^k+2) : (5*k+2 + 10^k+2) = 3^k+2 / 5^k+2 = (3/5)^k+2

(3/5)^k : (3/5)^k+2 = (3/5)^k *(5/3)^k+2 = 5^2/3^2 = 25/9