Решите неравенство методом интервалов: [latex] sqrt{x+3} [/latex]* [latex] sqrt{4x+5} [/latex] < 6

[latex] sqrt{x+3} * sqrt{4x+5} extless 6[/latex]; _________________________ [latex] sqrt{(x+3)(4x+5)} extless sqrt{36} [/latex]; _______________________ [latex] (x+3)(4x+5) extless 36[/latex]; ________________________________ [latex]4x^2+5x+12x+15-36 extless 0[/latex]; ____________________________ [latex]4x^2+17x-21 extless 0[/latex]; _________________________________ [latex]4x^2+17x-21=0; D=17^2-4*4*(-21)=289+336=625=25^2[/latex]; ____________ [latex]x_1= frac{-17-25}{2*4} =-5,25; x_2= frac{-17+25}{2*4} =1[/latex]; ___________ _______ + ____________________ - ____________________ + ________ -----------------------------(-5,25)----------------------------------------(1)--------------------------------- x∈(-5,25;1)