Ответ:
Уравнение имеет два корня:
[tex]x = \frac{6 + \sqrt{60} }{2} [/tex]
[tex]x = \frac{6 - \sqrt{60} }{2} [/tex]
Объяснение:
[tex] \frac{x { }^{2} - 9}{x - 3} = 6[/tex]
[tex]x {}^{2} - 9 = 6(x - 3)[/tex]
[tex]x {}^{2} - 9 = 6x - 18[/tex]
[tex]x {}^{2} - 6x - 9 + 3 = 0[/tex]
[tex]x {}^{2} - 6x - 6 = 0[/tex]
[tex]d = b {}^{2} - 4ac[/tex]
[tex]d = 36 - 4 \times 1 \times ( - 6) = \\ = 36 + 24 = 60[/tex]
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Ответ:
Уравнение имеет два корня:
[tex]x = \frac{6 + \sqrt{60} }{2} [/tex]
[tex]x = \frac{6 - \sqrt{60} }{2} [/tex]
Объяснение:
[tex] \frac{x { }^{2} - 9}{x - 3} = 6[/tex]
[tex]x {}^{2} - 9 = 6(x - 3)[/tex]
[tex]x {}^{2} - 9 = 6x - 18[/tex]
[tex]x {}^{2} - 6x - 9 + 3 = 0[/tex]
[tex]x {}^{2} - 6x - 6 = 0[/tex]
[tex]d = b {}^{2} - 4ac[/tex]
[tex]d = 36 - 4 \times 1 \times ( - 6) = \\ = 36 + 24 = 60[/tex]
[tex]x = \frac{6 + \sqrt{60} }{2} [/tex]
[tex]x = \frac{6 - \sqrt{60} }{2} [/tex]