Question

решите уравнение -3 x-5=1/x+3

Answer 1

$-3 x-5= frac{1}{x}+3 \ -3x-frac{1}{x}=3+5 \ - frac{3x^{2}+1}{x} =8 \ - 3x^{2}+1-8x=0 \ - 3x^{2}-8x+1=0\ D=(-8)^{2}-4*(-3)*(1)=64+12=76\ x_{1} = frac{8+ sqrt{76} }{-6} =- frac{8+2 sqrt{19} }{6} =- frac{4+ sqrt{19} }{3}\ x_{2} = frac{8- sqrt{76} }{-6} =- frac{8-2 sqrt{19} }{6} =- frac{4- sqrt{19} }{3}$