Question

cine stie c ul va rog enorm​

Answer 1

Are log egalitatea matricilor ⇒ egalezi fiecare termen intre ei in functia de pozitia in care se afla

x²+x = 2  → x ={-2,1}

2^m = 2^(m-1) → m ∈ ∅

C₂ⁿ = 3  → n = {3}

log₂ (y+1) = 3 → y = 7

Rezolvare

x²+x = 2 ⇒ x²+x -2 = 0, delta = 1+8 = 9

x₁ = (-1+3)/2 = 2/2 = 1

x₂ = (-1-3)/2 = -4/2 = -2

2^m = 2^(m-1) ⇒ m = m-1 ⇒ m ∈ ∅

C₂ⁿ = 3

C₂ⁿ = n!/2!(n-2)! = (n-2)!(n-1)n / (n-2)!2  = (n²-n)/2

(n²-n)/2  = 3 ⇒ n²-n = 6 ⇒ n²-n-6 = 0, delta = 1+24 = 25

n₁ = (1+5)/2 = 6/2 = 3 ∈ N

n₂ = (1-5)/2 = -4/2 = -2 ∉ N

log₂ (y+1) = 3

y+1 = 2³

y = 7