Ответ:
[tex] {(3x - 4)}^{2} - 36 = 13 \\ {9x}^{2} - 24x + 16 - 36 = 13 \\ {9x}^{2} - 24x - 20 = 13 \\ {9x}^{2} - 24x - 20 - 13 = 0 \\ {9x}^{2} - 24x - 33 = 0 \\ {3x}^{2} - 8x - 11 = 0 \\ {3x}^{2} + 3x - 11x - 11 = 0 \\ 3x \times (x \ + 1) - 11x - 11 = 0 \\ 3x \times (x + 1) - 11(x + 1) = 0 \\ (x + 1) \times (3x - 11) = 0 \\ \\ x + 1 = 0 \\ 3x - 11 = 0 \\ \\ x = - 1 \\ 3x - 11 = 0 \\ \\ x = - 1 \\ \times = \frac{11}{3} [/tex]
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Ответ:
[tex] {(3x - 4)}^{2} - 36 = 13 \\ {9x}^{2} - 24x + 16 - 36 = 13 \\ {9x}^{2} - 24x - 20 = 13 \\ {9x}^{2} - 24x - 20 - 13 = 0 \\ {9x}^{2} - 24x - 33 = 0 \\ {3x}^{2} - 8x - 11 = 0 \\ {3x}^{2} + 3x - 11x - 11 = 0 \\ 3x \times (x \ + 1) - 11x - 11 = 0 \\ 3x \times (x + 1) - 11(x + 1) = 0 \\ (x + 1) \times (3x - 11) = 0 \\ \\ x + 1 = 0 \\ 3x - 11 = 0 \\ \\ x = - 1 \\ 3x - 11 = 0 \\ \\ x = - 1 \\ \times = \frac{11}{3} [/tex]