вправа 2.14 гдз 11 клас алгебра Істер 2019
Вправа 2.14
Умова:
Розв'яжіть рівняння:
1) (3/4)х = 64/27; 2) (1/2)2+х = 32;
3) 3,5х-2 = (2/7)х+1; 4) (√3)х-3 = 9х.
1) (3/4)х = 64/27; 2) (1/2)2+х = 32;
3) 3,5х-2 = (2/7)х+1; 4) (√3)х-3 = 9х.
Відповідь:
1) (3/4)х = 64/27;
(3/4)х = (4/3)3;
(3/4)х = (3/4)-3;
х = -3;
2) (1/2)2+х = 32;
((2)-1)2+х = 25;
2-2-х = 25;
-2 - х = 5;
х = -2 - 5;
х = -7;
3) 3,5х-2 = (2/7)х+1;
3,5 = 35/10 = 7/2;
(7/2)х-2 = (2/7)х+1;
(7/2)х-2 = (7/2)-(х+1);
х - 2 = -х - 1;
х + х = 2 - 1;
2х = 1;
х = 0,5;
4) (√3)х-3 = 9х;
(31/2)х-3 = 32х;
31/2(х-3) = 32х;
0,5(х - 3) = 2х;
0,5х - 1,5 = 2х;
2х = 0,5х = -1,5;
1,5х = -1,5;
х = -1.
(3/4)х = (4/3)3;
(3/4)х = (3/4)-3;
х = -3;
2) (1/2)2+х = 32;
((2)-1)2+х = 25;
2-2-х = 25;
-2 - х = 5;
х = -2 - 5;
х = -7;
3) 3,5х-2 = (2/7)х+1;
3,5 = 35/10 = 7/2;
(7/2)х-2 = (2/7)х+1;
(7/2)х-2 = (7/2)-(х+1);
х - 2 = -х - 1;
х + х = 2 - 1;
2х = 1;
х = 0,5;
4) (√3)х-3 = 9х;
(31/2)х-3 = 32х;
31/2(х-3) = 32х;
0,5(х - 3) = 2х;
0,5х - 1,5 = 2х;
2х = 0,5х = -1,5;
1,5х = -1,5;
х = -1.