Question

Решите и покажите решение уравнения на скриншоте.

Answer 1

х≠3
$\frac{1 - 3(x - 3) - 4(x - 3)^{2} }{(x - 3)^{2} } = 0$
$\frac{1 - 3x + 9 - 4(x^{2} - 6x + 9) }{(x - 3)^{2} } = 0$
$\frac{10 - 3x - 4x^{2} + 24x - 36 }{(x - 3)^{2} } = 0$
$\frac{ - 26 + 21x - 4x^{2} }{(x - 3) ^{2} } = 0$
$- 26 + 21x - 4x^{2} = 0$
$- 4x^{2} + 21x - 26 = 0$
$4x^{2} - 21x + 26 = 0$
$d = b^{2} - 4ac = 441 - 416 = 25$
$x1 = \frac{ - b + \sqrt{d} }{2a} = \frac{21 + 5}{8} = \frac{26}{8} = \frac{13}{4}$
$x2 = \frac{ - b - \sqrt{d} }{2a} = \frac{21 - 5}{8} = 2$
$x1 = \frac{13}{4} \\ x2 = 2$