572.
а) 7 2/13 • 2 = 93/13 • 2/1 = 186/13 = 14 4/13
б) 5 7/16 • 8 = 97/16 • 8/1 =97/2 • 1/1 = 97/2 = 48 1/2 = 48,5
в) 8 3/28 • 5 = 307/28 • 5/1 = 1535/28 = 54 23/28
г) 5/1 • 3 1/5 = 5 • 3,2 = 16
д) 6 3/8 • 2 = 51/8 • 2/1 = 51/4 • 1 = 51/4 = 12 3/4 = 12,75
е) 9 2/9 • 9 = 83/9 • 9/1 = 83
573.
а) (3 3/5 - 2 1/15) • 5 = 2 2/3
1) 3 3/5 - 3 1/15 = 3 9/15 - 3 1/15 = 8/15 2) 8/15 • 5/1 = 8/3 = 2 2/3
б) (1 14/17 - 1 1/34) • 34 = 27
1) 1 14/17 - 1 1/34 = 1 28/34 - 1 1/34 = 27/34
2) 27/34 • 34/1 = 27
в) 3/17 • 5 1/4 + 3 14/17 • 5 1/4 = ( 3/17 + 3 14/17) • 5 1/4 = 4/1 • 21/4 = 21
Больше не могу, сори, время поджимает
b)
3-3cosx=2(< var > 2cos^{2}(x) < /var ><var>2cos
2
(x)</var> -1)
4< var > cos^{2}(x)+3*cos(x)-5=0 < /var ><var>cos
2
(x)+3∗cos(x)−5=0</var> cos(x)=t,-1<t<1
4t^2+3t-5=0
D=9+80=89
< var > \sqrt{D}=89\approx=9.4 < /var ><var>
D
=89≈=9.4</var>
< var > x_1=(-3-9.4)/8=-5/8 < /var ><var>x
1
=(−3−9.4)/8=−5/8</var>
< var > x_2=(-3+9,4)/8=0.8 < /var ><var>x
2
=(−3+9,4)/8=0.8</var>
Обратная замена
cosx=-5/8 cosx=0.8
x=+-arccos(-5/8)+2< var > \pi < /var ><var>π</var> *n x=+-arccos(0.8)+2< var > \pi < /var ><var>π</var> *n
