Question

решите уравнение . 6:x =31+31x-6x^2

Answer 1

6/x=31+31x-6x²
(6-31x-31x²+6x³)/x=0
6x³-31x²-31x+6=0
6(x³+1)-31x(x+1)=0
6(x+1)(x²-x+1)-31x(x+1)=0
(x+1)(6x²-6x+6-31x)=0
1) x+1=0
x=-1

2) 6x²-37x+6=0
D=37²-4*6*6=1225
x=(37+35)/2*6=72/12=6
x=(37-35)/2*6=2/12=1/6