Question

Решить уравнение: (x-4)/(sgrt(x-3)+1) + (x-12)/(3+
sgrt(x-3)) = 2 

Answer 1

(x-4)/(√(x-3)+1) + (x-12)/(3+√(x-3)) = 2

√(x-3)=t>=0
(x-4)=t^2-1
(x-12)=t^2-9
(t^2-1)/(t+1) + (t^2-9)/(3+t) = 2
(t-1)+ (t-3) = 2 (t не равно -1 и не равно -3)
2t-4=2
2t=6
t=3
√(x-3)=3
(x-3)=9
x=12