Question

3x^2=2x+4 решить уравнение

Answer 1

3x²=2x+4
3x²-2x-4=0
D=(-2)²-4*(-4)*3=4+48=52
$x_{1}= frac{-(-2)- sqrt{52} }{3*2} = frac{2-2 sqrt{13} }{6} = frac{2(1- sqrt{13}) }{6} = frac{1- sqrt{13} }{3} \ x_{2}= frac{-(-2)+ sqrt{52} }{3*2} = frac{2+2 sqrt{13} }{6} = frac{2(1+ sqrt{13}) }{6} = frac{1+ sqrt{13} }{3}$