75^20 = (25*3)^20 = 25^20*3^20= 5^40*3^20
45^10*5^30 = (5*9)10*5^30 = 5^10*9^10*5^30 = 5^40*9*10 = 5^40*3^20
4+25y=6+24y
25y-24y=6-4
y=2
Ответ:2
6-2с=8-3с
3с-2с=8-6
с=2
Ответ:6
7х+1=11х-3
7х-11х=-1-3
-4х=-4
х=1
Ответ:1
(x - 2) (x + 4)^2 = 7(x+4)
(x - 2)*(x + 4)^2 - 7(x+4) = 0
(x+ 4) ((x - 2)(x + 4) - 7) = 0
(x+ 4) (x^2 + 2x - 8 - 7) = 0
(x + 4) ( x^2 + 2x - 15) = 0
x + 4 = 0
x1 = - 4
x^2 + 2x - 15 = 0
D = 4 + 4*15 = 64
x2 = ( - 2 + 8)/2 = 6/2 = 3;
x3 = ( - 2 - 8)/2 = - 10/2 = - 5
Ответ:
- 5; - 4; 3
5^(2x-1) + 2^2x = 5^2x - 2^(2x+2)
2^2x + 2^(2x+2) = 5^2x - 5^(2x-1)
2^2x(1 + 2^2) = 5^(2x-1)(5 - 1)
5*2^2x = 5^(2x-1)*2^2
2^2x/2^2 = 5^(2x-1)/5
2^(2x-2) = 5^(2x-2)
2x-2=0
x=1