Question

Rezolvati ecuatia (x-√6)²=24 Multumesc !

Answer 1

( x - √6 )² = 24

x - √6 = 2√6

2√6 = √(2²) × 6 = √4 × 6 = √24

x₁ - 6 = - 2√6

x₁ = ( - 2√ 6 ) + √6

x₁ = - 2√6 + √6

x₁ = - √6

x₂ - √6 = 2√6

x₂ = 2√6 + √6

x₂ = 3√6

Answer 2

(x-√6)²=24

x-√6=±2√6

x-√6=-2√6 => x=-2√6+√6 => x=-√6

x-√6=2√6 => x=2√6+√6 => x=3√6

x1=-√6 ; x2=3√6

S={-√6;3√6}