Question

решите уравнение
√(2x-34)=1+√x

Answer 1

2x - 34 = 1 + x + 2√x
x - 2√x - 35 = 0
√x = t, t ≥ 0
t² - 2t - 35 = 0
D = 4 + 140 = 144
t1 = (2+12)/2 = 7
t2 = (2-12)/2 = -5 - не удовлетворяет ОДЗ
√x = 7
x = 49