Решите неравенство (х-3)^2<√5(х-3)

Question

Решите неравенство (х-3)^2<√5(х-3)

Answer 1

(x-3)²<√5*(x-3)<br>(x-3)²-√5*(x-3)<0<br>(x-3)*(x-3-√5)<0<br>-∞_____+_____3_____-_____3+√5______+_____+∞
x∈(3;3+√5).