Відповідь:
( - 2x - 5) * (0.3x + 2.7) = 0
( - 2x - 5) * (
3
10
x +
27
) = 0
( -
5
x2 -
69
x -
2
-
= 0
- 6x2 - 69x - 135 = 0
- 2x2 - 23x - 45 = 0
a = ‑ 2 b = ‑ 23 c = ‑ 45
D = b² - 4 * a * c
D = (‑ 23)² - 4 * (‑ 2) * (‑ 45) = 529 - 360 = 169
D > 0 => x1,2 =
-b ± √D
2 * a
x1,2 =
23 ± √169
2 * (‑ 2)
=
23 ± 13
(‑ 4)
x1 =
23 - 13
= ‑
x2 =
23 + 13
36
= ‑ 9
x1 = ‑
= ‑ 2
1
(x1 = -2.5)
x2 = ‑ 9
Покрокове пояснення:
Copyright © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Відповідь:
( - 2x - 5) * (0.3x + 2.7) = 0
( - 2x - 5) * (
3
10
x +
27
10
) = 0
( -
3
5
x2 -
69
10
x -
27
2
) = 0
-
3
5
x2 -
69
10
x -
27
2
= 0
- 6x2 - 69x - 135 = 0
- 2x2 - 23x - 45 = 0
a = ‑ 2 b = ‑ 23 c = ‑ 45
D = b² - 4 * a * c
D = (‑ 23)² - 4 * (‑ 2) * (‑ 45) = 529 - 360 = 169
D > 0 => x1,2 =
-b ± √D
2 * a
x1,2 =
23 ± √169
2 * (‑ 2)
=
23 ± 13
(‑ 4)
x1 =
23 - 13
(‑ 4)
=
10
(‑ 4)
= ‑
5
2
x2 =
23 + 13
(‑ 4)
=
36
(‑ 4)
= ‑ 9
x1 = ‑
5
2
= ‑ 2
1
2
(x1 = -2.5)
x2 = ‑ 9
Покрокове пояснення: