4х² - 19х + 32 = - 6х² - 6х + 41
4х² - 19х + 32 + 6х² + 6х - 41 = 0
(4 + 6)х² + (-19 +6)х + (32 - 41) = 0
10х² - 13х - 9 = 0
D = (-13)² - 4*10 *(-9) = 169 +360 = 529 = 23²
D> 0 - два корня уравнения
х₁ = ( - (-13) - 23)/(2*10) = (13 - 23)/20 = -10/20 = -0,5
х₂ = ( -(-13) + 23)/(2*10) = (13 +23)/20 = 36/20 = 18/10 = 1,8