Question

Fie a=√(x+5) ²+√(x-3) ² Daca x apartine (-5, 3( aratati ca a apartine |N


ajutor urgent​

Answer 1

Răspuns:

Explicație pas cu pas:

$x > -5\\x + 5> - 5 + 5 \\x + 5 > 0\\\sqrt{(x+5)^2} = |x + 5 | = x + 5\\\\x < 3\\x -3 < 3 - 3 \\x -3 < 0\\\sqrt{(x-3)^2} = |x -3 | = 3 - x\\\\\sqrt{(x+5)^2} + \sqrt{(x-3)^2} = x + 5 + 3 - x = 8$

a = 8  ∈ N , ∀ x ∈ (-5 , 3)