2x+4=0
2х = -4
х = -4 ÷ 2
х = -2
ответ: -2.
(x+2)(x-1)=0
х^2 -х +2х -2 = 0
х^2 +х -2 = 0
D = 1 - 4×1×(-2) = 1 + 8 = 9>0
x1 = -1+3 / 2 = 2/2 = 1
x2 = -1-3 / 2 = -4/2 = -2
ответ: 1; -2.
x^2-4x=0
х(х-4) = 0
х = 0 и х-4 = 0
х = 4
ответ: 0; 4.
4z^2 - 4z +1 = 0
D = 16 - 4×4×1 = 16 - 16 = 0
z = 4 / 2×4 = 4/8 = 1/2 = 0,5
ответ: 0,5.
2(x-2) + x(x-2)=0
2х -4 + х^2 -2х = 0
х^2 -4 = 0
х^2 = 4
х1 = 2
х2 = -2
ответ: 2; -2.
x^2(x-3)(x+6) = 0
(х^3 -3х^2)×(х+6) = 0
х^4 +6х^3 -3х^3 -18х^2 = 0
х^4 + 3х^3 -18х^2 = 0
х^2(х^2 +3х -18) = 0
х^2 = 0 и
х^2 +3х -18 = 0
D = 9 - 4×1×(-18) = 9 + 72 = 81>0
x2 = -3+9 / 2 = 6/2 = 3
x3 = -3-9 / 2 = -12/2 = -6
ответ: 0; 3; -6.
1. 3х - 3
2. -11
3. 7х - 1
4. -20
5. 5
6. 2х - 9
7. 2
8. 7х - 10
9. -19
10. 7х - 5
Объяснение:
1. 3(х+4) - (3-х) - х - 4 = 3х + 4 - 3 + х - х - 4 = 3х - 3
2. x + 4 - 5(2-х) - (5+1)х - 5 = х + 4 - 10 + 5х - 5х - х - 5 = 4 - 10 - 5 = -11
3. 4(x+4) - 4(3-х) - x - 5 = 4х + 16 - 12 + 4х - х - 5 = 4х + 4х - х + 16 - 12 - 5 = 7х - 1
4. x + 2 - 4(5-х) - (4+1)х - 2 = х + 2 - 20 + 4х - 4х - х - 2 = -20
5. 2(x+4) - (1-x) - (1+2)х - 2 = 2х + 8 - 1 + х - х - 2х - 2 = 8 - 1 - 2 = 5
6. x + 2 - 2(5-х) - x - 1 = х + 2 - 10 + 2х - х - 1 = 2 - 10 - 1 + 2х = -9 + 2х = 2х - 9
7. 4(x+2) - (1-x) - (1+4)х - 5 = 4х + 8 - 1 + х - х - 4х - 5 = 8 - 1 - 5 = 2
8. 4(х+2) - 4(4-x) - x - 2 = 4х + 8 - 16 + 4х - х - 2 = 4х + 4х - х + 8 - 16 - 2 = 7х - 10
9. 3(х+1) - 4(5-х) - (4+3)х - 2 = 3х + 3 - 20 + 4х - 4х - 3х - 2 = 3 - 20 - 2 = -19
10. 3(x+3) - 5(2-х) - x - 4 = 3х + 9 - 10 + 5х - х - 4 = 3х + 5х - х + 9 - 10 - 4 = 7х - 5
