9х^3 -16х=27х^2 -48 решите уравнения

Question

9х^3 -16х=27х^2 -48 решите уравнения

Answer 1

9х³-16х=27х²-48
9х³-16х-27х³+48=0
(9х³-2х²)+(16х+48)=0
9х²(х-3)+16(-х+3)=0
-9х²(3-х)+16(3-х)=0
(3-х)(16-9х²)=0
-х+3=0                            16-9х²=0
-х=-3  /(-1)                        -9х²=-16  /9
х=3                                   х²=16/9
                                          х1,2=+-4/3
ответ  х1=-4/3    х2=4/3   х3=3