Question

√9-x=x-3 ecuatie irationala √din 9-x

Answer 1

√9 - x = x - 3

3 - x = x - 3

- x - x = - 3 - 3

- 2x = - 6

x = - 6 : (- 2) = 6 : 2 = 3

Answer 2

Răspuns:

Explicație pas cu pas:

√(9-x) = x-3  I²

Conditii :

9-x ≥ 0 => x ≤ 9

x - 3 ≥ 0 => x ≥ 3 => x ∈ [3 , 9]

9-x = x²-6x+9  => x²-5x = 0 =>

x(x-5) = 0 => x₁= 0 ; nu convine

                    x₂ = 5 = solutie