Question

решите уравнение (3x+1)²=(x+2)²
не дискриминантом ​

Answer 1

$(3x + 1) {}^{2} = (x + 2) {}^{2} \\ \sqrt{(3x + 1) {}^{2}} = \sqrt{(x + 2) {}^{2}} \\ |3x+1|=|x+2| \\ 3x + 1 = x + 2 \\ 3x + 1 = - (x + 2) \\ 2x = 1 \\ 4x = - 3 \\ x = \frac{1}{2} \\ x = - \frac{3}{4}$

Ответ: 0.5, -0.75