(5x + 3)2 = 5 * (x + 3)
x1 = ‑
6
5
= ‑ 1
1
(x1 = -1.2)
x2 =
(x2 = 0.2)
25x2 + 30x + 9 = 5 * (x + 3)
25x2 + 30x + 9 = (5x + 15)
25x2 + 30x + 9 = 5x + 15 | ‑ 5x ‑ 15
25x2 + 25x - 6 = 0
a = 25 b = 25 c = ‑ 6
D = b² - 4 * a * c
D = (25)² - 4 * 25 * (‑ 6) = 625 + 600 = 1225
D > 0 => x1,2 =
-b ± √D
2 * a
x1,2 =
‑ 25 ± √1225
2 * 25
=
‑ 25 ± 35
50
x1 =
‑ 25 - 35
‑ 60
= ‑
‑ 25 + 35
10
Пошаговое объяснение:
это в виде ленейного уравнения
(5x + 3)2 = 5 * (x + 3)
x1 = ‑
6
5
= ‑ 1
1
5
(x1 = -1.2)
x2 =
1
5
(x2 = 0.2)
(5x + 3)2 = 5 * (x + 3)
25x2 + 30x + 9 = 5 * (x + 3)
25x2 + 30x + 9 = (5x + 15)
25x2 + 30x + 9 = 5x + 15 | ‑ 5x ‑ 15
25x2 + 25x - 6 = 0
a = 25 b = 25 c = ‑ 6
D = b² - 4 * a * c
D = (25)² - 4 * 25 * (‑ 6) = 625 + 600 = 1225
D > 0 => x1,2 =
-b ± √D
2 * a
x1,2 =
‑ 25 ± √1225
2 * 25
=
‑ 25 ± 35
50
x1 =
‑ 25 - 35
50
=
‑ 60
50
= ‑
6
5
x2 =
‑ 25 + 35
50
=
10
50
=
1
5
x1 = ‑
6
5
= ‑ 1
1
5
(x1 = -1.2)
x2 =
1
5
(x2 = 0.2)
Пошаговое объяснение:
это в виде ленейного уравнения