(x+4)(7a+4)+(x+4)(8a-8)=7ax+4x+28a+16+8ax-8ax-8x+32a-32=15ax-4x+60a-16
(4^2 - y^2) - 4y^3 + 2y^2 + 4y^3= (4y^2 - y^2) + 2y^2
X^2+8x-20=0.
Выделим полный квадрат (x+4)^2-36=0, (x+4)^2=36, x+4=+ -6, x1=6-4=2, x2=-6-4=-10.
5x² + 3x - 8 = 0
D = b² - 4ac = 9 - 4 × 5 × (-8) = 9 + 160 = 169 = 13²
x1 = ( - 3 + 13) / 10 = 1
x2 = ( - 3 - 13) / 10 = - 1,6
Ответ: x1 = 1, x2 = - 1,6.
(2x + 3)( 3x + 1) = 11x + 30
6x² + 11x + 3 = 11x + 30
6x² + 11x - 11x = 30 - 3
6x² = 27
6x² - 27 = 0
2x² - 9 = 0
2x² = 9
x² = 4,5
x1,2 = +/-√4,5
Ответ: x1,2 = +/-√4,5
x² + 4x - 2 = 0
D = b² - 4ac = 16 - 4 × (-2) = 16 + 8 = 24
x1 = ( - 4 + 2√6) / 2 =-2(2-√6)/2 = - (2 - √6) = - 2 + √6
x2 = ( - 4 - 2√6) / 2 =-2(2 + √6)/2 = -(2 + √6) = - 2 - √6
Ответ: x1 = - 2 + √6, x2 = - 2 - √6.
(2t-5n)²-36=(2t-5n-6)(2t-5n+6)