Question

Решить уравнение:
x=1+√x+11

Answer 1

$x = 1 + sqrt[]{x} + 11 = 1 + sqrt[]{x} + 11 = x = 12 + sqrt[]{x} = x = sqrt[]{x} = x - 12 = x {}^{2} + 2x times ( - 12) + ( - 12 {}^{2} ) = x {}^{2} - 25x + 144 = 0 \ x - 9 = 0 \ x - 16 = 0 \ x = 16$