10Sinx Cos x + 12Sin xCos x + 4(Cos²x - Sin²x) = 0
22SinxCos x + 4Cos²x - 4Sin²x = 0 |: Cos²x≠ 0
22tg x + 4 - 4tg² x = 0 | : (-2)
2tg² x -11 tgx -2 = 0
Решаем как квадратное:
tgx =(11 +-√157)/4
x = arctg (11 +-√157)/4
<span> cos40° cos20°- sin40° sin20° = cos(40</span>°<span>+20</span>°<span>) = cos60</span>° = 1/2
25х - х² = 0
-x² + 25x = 0
а= - 1 ; b = 25 ; с= 0
D = 25² - 4*(-1)*0 = 25² = 625
x₁ = ( - 25 - 25)/(2*(-1)) = - 50/(-2) = 25
x₂ = (-25+25)/( 2 *(-1)) = 0
3x² - 48 = 0
a=3 ; b=0 ; с= - 48
D = 0 - 4*3*(-48) = 576 = 24²
x₁ = -24/(2*3) = - 24/6 = - 4
x₂ = 24/(2*3) = 24/6 = 4
27х - х² = 0
-х² + 27х = 0
а= - 1 ; b = 27 ; с =0
D = 27² - 4*(-1)*0 = 27² = 729
x₁ = ( -27 - 27)/(2*(-1)) = -54/ -2 = 27
x₂ = (-27 + 27) / ( 2*(-1)) = 0
4x² - 36 = 0
a= 4 ; b = 0 ; с = -36
D = - 4*4*(-36) = 576 = 24²
x₁ = -24/(2*4) =- 24/8 = - 3
х₂ = 24/(2*4) = 24/8 = 3
18,2*8,1+23,8*5,1-18,2*7,6-23,8*4,6=18,2*(8,1-7,6)+23,8*(5,1-4,6)=18,2*0,5+23,8*0,5=0,5*(18,2+23,8)=0,5*42=21