1. = с ^ ( ( 1/2 ) + ( 1/3 )) = с ^ ( 3/6 + 2/6 ) = с ^ 5/6
2. = y ^ ( - 1/3 + 1/4 ) = y ^ ( - 4/12 + 3/12 ) = y ^ ( - 1/12 ) = 1 / ( y ^12 )
3. = x ^ ( 2 + ( 1/2 )) = x ^ ( 5/2 )
1.
6y⁴-5y²-6=0
z=y²
6z²-5z-6=0
D=5²-4*(-6)*6=25+144=169=13²
y=√z
4.5m⁴-9m²+4=0
m²=t
4.5t²-9t+4=0
D=9²-4*4*4.5=81-72=9=3²
2.
3.
(2x-7)²-11(2x-7)+30=0
4x²-28x+49-22x+77+30=0
4x²-50x+156=0
D=2500-4*4*156=2500-2496=4=2²
(6x+1)²+2(6x+1)-24=0
36x²+12x+1+12x+2-24=0
36x²+24x-21=0
D=24²-4*(-21)*36=576+3024=3600=60
Π - это 180°, тогда:
60° = 180°/3 = π/3
120° = 180°•2/3 = 2π/3
-40° = -180°•2/9 = -2π/9
210° = 180° + 30° = π + π/6 = 7π/6
-720° = -180°•4 = -4π.
15x+6y=3x+19
2x+8=3-2x-5y
15x-3x=19-6y
2x+2x=-5-5y
12x=19-6y
4x=-5-5y |*(-3)
12x=19-6y
-12x=15+15y
складываем
_____________
0=34+9y
9y=-34
y=-34/9