Question

Реши уравнение:
(9x−4)2−(x−18)2=0.

Ответ:
x1=
;x2=
(первым впиши меньший корень).

Answer 1

$(9x - 4) {}^{2} - (x - 18) {}^{2} = 0 \\ (9x - 4 - (x - 18))(9x - 4 + x - 18) = 0 \\ \\ 9x - 4 - (x - 18) = 0 \\ 9x - 4 - x + 18 = 0 \\ 8x + 14 = 0 \\ 8x = -1 4 \\ x = - \frac{14}{8} \\ x = - \frac{7}{4} \\ x = - 1.75 \\ \\ 9x - 4 + x - 18= 0 \\ 10x - 22 = 0 \\ 10x = 22 \\ x = \frac{22}{10} \\ x = 2.2 \\ \\ x _{1} = - 1.75 \\ x _{2} = 2.2$