решите уравнение: |х²+3х|=4. Created by Abzal2001. algebra-ru

решите уравнение: |х²+3х|=4...

Abzal2001 @Abzal2001

August 2022 2 9 Report

решите уравнение:
|х²+3х|=4

irreversibility

Verified answer

|х²+3х|=4,
х²+3х=4, х²+3х=-4,
х=1. х=-4.
Ответ: -4; 1.

0 votes Thanks 2

Dимасuk

Verified answer

|x² + 3x| = 4
1) x² + 3x ≥ 0
x(x + 3) ≥ 0
x ≤ -3, x ≥ 0
x² + 3x - 4 = 0
x1 + x2 = -3
x1 • x2 = -4

x1 = -4
x2 = 1

2) x² + 3x ≤ 0
-3 ≤ x ≤ 0
-x² - 3x = 4
x² + 3x + 4 = 0
D = 9 - 16 < 0 => нет решений.
Ответ: х = -4; 1.

0 votes Thanks 0

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