Question

РЕШИТЕ (x-2)^2=3(x-2)

Answer 1

${(x - 2)}^{2} = 3 \times (x - 2) \\ {x}^{2} - 4x + 4 = 3x - 6 \\ {x}^{2} - 4x - 3x + 4 + 6 = 0 \\ {x}^{2} - 7x + 10 = 0 \\ a = 1 \\ b = - 7 \\ c = 10 \\ d = { - (b)}^{2} - 4 \times a \times c = - 49 - 40 = - 89 \\ x 1= \frac{ 7 + \sqrt{89}}{2} = 3.5 + \sqrt{89} \\ x2 = \frac{7 - \sqrt{89} }{2} = 3.5 - \sqrt{89}$