Уравнение вида ax+by+c=0 — общее уравнение прямой.
x - 4y + 5 = 0
a = 1
b = -4
c = 5
2 / x - 5 = 3x / x + 3
2( x + 3) = 3x ( x - 5)
2x + 6 = 3x² - 15x
2x + 6 - 3x² + 15x = 0
- 3x² + 17x + 6 =0
3x² - 17x - 6 = 0
D = b² - 4ac = ( - 17)² - 4 × 3 × ( - 6) = 289 + 72 = 361 = 19²
x₁ = 17 + 19 / 6 = 6
x₂ = 17 - 19 / 6 = - 2 / 6 = - 1/3
8 = 3x/y
y = 3x/8
....................
(c - 5)² - 4c( - 10 - 2c) = c² - 10c + 25 + 40c + 8c² = 9c² + 30c + 25