x = -2.
ODZ: x belongs to [-2; 2].
Пошаговое объяснение:
In order to find the domain of definition of the function y = √ (4 - x ^ 2) (quadruple root), we start by considering it.
So, we are given a function whose variable is under the sign of the quadruple root.
In order for the function to have a value, the radical expression must be non-negative.
We need to find a solution to the following inequality:
4 - x ^ 2 ≥ 0;
We apply the formula difference of squares to the left side of the inequality:
(2 - x) (2 + x) ≥ 0;
Looking for points:
2 - x = 0;
x = 2;
2 + x = 0;
x = -2.
ODZ: x belongs to [-2; 2].
1) -3,6 : 9/35 = - 36/10 * 35/9 = -18/5 * 35/9 =
= (-2 * 7)/(1*1) = -14
2) - 11 4/9 - (-14) = -11 4/9 + 14 = 2 5/9
3) 3 3/23 * 2 5/9 = 72/23 * 23/9 = 72/9=8
4)- 4 5/6 + 8 = 3 1/6
2)
0,4х + 3,8 = 2,6 - 0,8х
0,4х + 0,8х = 2,6 - 3,8
1,2х = -1,2
х= -1
0,4 * (-1) + 3,8 = 2,6 - 0,8 *(-1)
-0,4 +3,8 = 2,6 + 0,8
3,4=3,4
3)
4(х-6) = х - 9
4х - 4*6 = х -9
4х - 24 = х -9
4х - х = -9 + 24
3х =15
х=15:3
х=5
4(5-6) = 5 - 9
4*(-1) = - 4
- 4 = - 4