Question

Решите уровнение.
(5x + 3)^2 = 5(x +3)

Answer 1

Ответ:

(5x + 3)2 = 5 * (x + 3)

x1 = ‑

6

5

= ‑ 1

1

5

(x1 = -1.2)

x2 =

1

5

(x2 = 0.2)

Решение:

(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