K=6x^2-13x+6
6x^2-13x=k-6
3(6x^2-13x+6)^2-10(6x^2-13)=53
3k^2-10(k-6)=53
3k^2-10k+60-53=0
3k^2-10k+7=0
k1=(-(-10)-(10^2-4*3*7)^-2)/(2*6)=(10-(100-84)^-2)/12=0,5
k2=(-(-10)+(10^2-4*3*7)^-2)/(2*6)=(10+(100-84)^-2)/12=7/6=1.167
6x^2-13x+6=0,5 6x^2- 13x+5,5=0
x1=(13-(13^2-4*6*5,5)^-2)/2*6=(13-37^-2)/12=0,576
x1=(13+(13^2-4*6*5,5)^-2)/2*6=(13+37^-2)/12=1,59
6x^2-13x+6=7/6 6x^2- 13x+4(5/6)=0
x1=(13-(13^2-4*6*(29/6))^-2)/2*6=(13-57^-2)/12=0,477
x1=(13+(13^2-4*6*(29/6))^-2)/2*6=(13+57^-2)/12=1,69
Ответ: x1=0,576; x2=1.59; x3=0.477; x4=1.69.