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Ответ:
, 9
Пошаговое объяснение:
![(2x)^{2} -2*(2x)\frac{b+36}{4}+ (\frac{b+36}{4})^{2} -(\frac{b+36}{4})^{2}+9b=0\\(2x - \frac{b+36}{4})^{2}-\frac{b^{2} +72b+36^{2} }{16}+9b=0\\(2x - \frac{b+36}{4})^{2}-\frac{b^{2} +72b+36^{2} }{16}+\frac{144b}{16} =0 \\(2x - \frac{b+36}{4})^{2}-\frac{b^{2} -72b+36^{2} }{16} =0\\(2x - \frac{b+36}{4})^{2}-(\frac{b-36}{4})^{2}=0\\|2x - \frac{b+36}{4}|=|\frac{b-36}{4}|\\\\](https://tex.z-dn.net/?f=%282x%29%5E%7B2%7D%20-2%2A%282x%29%5Cfrac%7Bb%2B36%7D%7B4%7D%2B%20%28%5Cfrac%7Bb%2B36%7D%7B4%7D%29%5E%7B2%7D%20-%28%5Cfrac%7Bb%2B36%7D%7B4%7D%29%5E%7B2%7D%2B9b%3D0%5C%5C%282x%20-%20%5Cfrac%7Bb%2B36%7D%7B4%7D%29%5E%7B2%7D-%5Cfrac%7Bb%5E%7B2%7D%20%2B72b%2B36%5E%7B2%7D%20%7D%7B16%7D%2B9b%3D0%5C%5C%282x%20-%20%5Cfrac%7Bb%2B36%7D%7B4%7D%29%5E%7B2%7D-%5Cfrac%7Bb%5E%7B2%7D%20%2B72b%2B36%5E%7B2%7D%20%7D%7B16%7D%2B%5Cfrac%7B144b%7D%7B16%7D%20%3D0%20%5C%5C%282x%20-%20%5Cfrac%7Bb%2B36%7D%7B4%7D%29%5E%7B2%7D-%5Cfrac%7Bb%5E%7B2%7D%20-72b%2B36%5E%7B2%7D%20%7D%7B16%7D%20%3D0%5C%5C%282x%20-%20%5Cfrac%7Bb%2B36%7D%7B4%7D%29%5E%7B2%7D-%28%5Cfrac%7Bb-36%7D%7B4%7D%29%5E%7B2%7D%3D0%5C%5C%7C2x%20-%20%5Cfrac%7Bb%2B36%7D%7B4%7D%7C%3D%7C%5Cfrac%7Bb-36%7D%7B4%7D%7C%5C%5C%5C%5C)
![x_{1}= \frac{b+36}{8}+\frac{b-36}{8}=\frac{b+36+(b-36)}{8}=\frac{b}{4} \\x_{2}= \frac{b+36}{8}-\frac{b-36}{8}=\frac{b+36-(b-36)}{8}=9\\](https://tex.z-dn.net/?f=x_%7B1%7D%3D%20%5Cfrac%7Bb%2B36%7D%7B8%7D%2B%5Cfrac%7Bb-36%7D%7B8%7D%3D%5Cfrac%7Bb%2B36%2B%28b-36%29%7D%7B8%7D%3D%5Cfrac%7Bb%7D%7B4%7D%20%5C%5Cx_%7B2%7D%3D%20%5Cfrac%7Bb%2B36%7D%7B8%7D-%5Cfrac%7Bb-36%7D%7B8%7D%3D%5Cfrac%7Bb%2B36-%28b-36%29%7D%7B8%7D%3D9%5C%5C)
Второй вариант решения:
разложим не множители многочлен
4x^2-(b+36)x+9b= x(4x-b)-9(4x-b)=(x-9)(4x-b)
приравниваем к нулю и получаем два корня
x=9; x=b/4
48-62+37-28-3-2,43+3,51-4,57+1,68+0,22= -14+37-28-3-2,43+3,51-4,57+1,68+0,22=23-28-3-2,43+3,51-4,57+1,68+0,22=-5-3-2,43+3,51-4,57+1,68+0,22=-8-2,43+3,51-4,57+1,68+0,22=-10,43+3,51-4,57+1,68+0,22=-6,92-4,57+1,68+0,22=-11,49+1,68+0,22=-9,81+0,22=-9,59