Question

Determina x din egalitatea : x+2⁰ * ( 2¹⁹⁹⁰ * 2 + 2¹⁹⁹¹ + 2¹⁹⁹²) = 2¹⁹⁹⁴

Answer 1

x+2⁰ * ( 2¹⁹⁹⁰ * 2 + 2¹⁹⁹¹ + 2¹⁹⁹²) = 2¹⁹⁹⁴  ⇔ x+1·2¹⁹⁹⁰(2+2+4) =2¹⁹⁹⁴  ⇔

⇔ x+2¹⁹⁹⁰·2³ = 2¹⁹⁹⁴ ⇔ x= 2¹⁹⁹⁴ - 2¹⁹⁹³  ⇔ x = 2¹⁹⁹³ (2-1) ⇔ x= 2¹⁹⁹³


 

Answer 2

x + 2⁰ * (2¹⁹⁹¹ + 2¹⁹⁹¹ + 2¹⁹⁹²) = 2¹⁹⁹⁴

x +  2¹⁹⁹¹ (1+1+2) = 2¹⁹⁹⁴

x = 2¹⁹⁹⁴ - 2¹⁹⁹¹ * 2² = 2¹⁹⁹⁴ - 2¹⁹⁹³ = 2¹⁹⁹³ (2 - 1) = 2¹⁹⁹³