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frac{sqrt{17-15x-2x^{2}}}{x+3}>0\\left { {{17-15x-2x^{2}>0 } atop {x+3>0}} right.\\\left { {{2x^{2}+15x-17<0 } atop {x>-3}} right.\\\left { {{2(x-1)(x+8,5)<0} atop {x>-3}} right.\\\left { {{(x-1)(x+8,5)<0} atop {x>-3}} right.

      +                   -                         +

________₀___________₀________

              - 8,5                     1

                 ///////////////////////

_____________₀_______________

                          - 3

                            ///////////////////////////

Ответ : x ∈ (- 3 ; 1)

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