P=3xy²+2xy²+7x-2y+2xy²+3x=7xy²+10x-2y;
степень многочлена - 2
9 + 6x + x² = 15x + 5x²
x² - 5x² + 6x - 15x + 9 = 0
- 4x² - 9x + 9 = 0
4x² + 9x - 9 = 0
D = b² - 4ac = 81 - 4*4*(-9) = 81 + 144 = 225 = 15²
x 1 = ( - 9 + 15) / 8 = 0,75
x2 = ( - 9 - 15) / 8 = - 3
Sin²105⁰-cos²105⁰=-cos(2·105⁰)=-cos210⁰=-cos(180⁰+30⁰)=cos30⁰=√3/2