Пошаговое объяснение:
1)-2x² + x = 0
x(-2x + 1) = 0
x = 0 или -2x + 1 = 0
x = 0,5
2) 7x² + 49 = 0
7x² = -49
x² = -7
Уравнение не имеет решений (x²>0)
3) 7y² - 21 = 0
7y² = 21
y² = 3
y = ±√3
4) 5(2x-3) = x²-2(7,5-5x)
10x - 15 = x² - 15 + 10x
0 = x²
x² = 0
x = 0
5) (y-1)² + 2y = 3(y + 1/3)
y² - 2y + 1 + 2y = 3y + 1
y² + 1 = 3y + 1
y² - 3y = 0
y(y-3) = 0
y-3 = 0 или y = 0
y = 3
6) (2x+3)(3x+1) = 2(5,5x + 15)
6x² + 9x + 2x + 3 = 11x + 30
6x² = 27
x² = 4,5 = 9/2
x = 3 / √2
x = 3√2 / 2
Пошаговое объяснение:
1)-2x² + x = 0
x(-2x + 1) = 0
x = 0 или -2x + 1 = 0
x = 0,5
2) 7x² + 49 = 0
7x² = -49
x² = -7
Уравнение не имеет решений (x²>0)
3) 7y² - 21 = 0
7y² = 21
y² = 3
y = ±√3
4) 5(2x-3) = x²-2(7,5-5x)
10x - 15 = x² - 15 + 10x
0 = x²
x² = 0
x = 0
5) (y-1)² + 2y = 3(y + 1/3)
y² - 2y + 1 + 2y = 3y + 1
y² + 1 = 3y + 1
y² - 3y = 0
y(y-3) = 0
y-3 = 0 или y = 0
y = 3
6) (2x+3)(3x+1) = 2(5,5x + 15)
6x² + 9x + 2x + 3 = 11x + 30
6x² = 27
x² = 4,5 = 9/2
x = 3 / √2
x = 3√2 / 2