Question

(2y-3)(3y+1)+2(y-5)(y+5)=2(1-2y)
Решите уравнение

Answer 1

$(2y-3)(3y+1)+2(y-5)(y+5)=2(1-2y)$
$6y^2+2y-9y-3+2(y^2-25)-2(1-2y)=0$
$6y^2+2y-9y-3+2y^2-50-2 +4y=0$
$8y^2-3y-55=0$
$D=(-3)^2-4*8*(-55)=9+1760=1769$
$y_1= frac{3+ sqrt{1769} }{2*8} = frac{3+ sqrt{1769} }{16}$
$y_2= frac{3- sqrt{1769} }{2*8} = frac{3- sqrt{1769} }{16}$