Question

Розв'язати рівняння: 4x^2 = -4x-1

Answer 1

$4 {x}^{2} = - 4x - 1 \\ 4 {x}^{2} + 4x + 1 = 0 \\ (2 {x})^{2} + 2 \times 2x \times 1 + 1 {}^{2} = 0 \\ (2x + 1) {}^{2} = 0 \\ 2x + 1 = 0 \\ 2x = - 1 \\ x = - 1 \div 2\\ x = - 0.5$