Question

Решите графическое уравнение корень х=2-х

Answer 1

√x = 2 - x
x= (2 - x)(2 - x)
x = 4 - 4x + x²
- x² + 5x - 4 = 0
x² - 5x + 4 = 0
D = b² - 4ac = 25 - 4 × 4 = 9 = 3²
x1 = ( 5 + 3) / 2 = 4
x2 = ( 5 - 3) / 2 = 1
Ответ:x1 = 4, x2 = 1.