Question

5x² – 20x = 0;49x+14x² + x3 = 0.​

Answer 1

Ответ:

Смотри решение на фото

Answer 2

To solve these equations, let's first simplify them and find their solutions:

1. Equation: 5x² - 20x = 0

   We can factor out a common term of 5x from both terms: 5x(x - 4) = 0

   Now, set each factor equal to zero and solve for x: 5x = 0 => x = 0 x - 4 = 0 => x = 4

   So, the solutions are x = 0 and x = 4.

2. Equation: 49x + 14x² + x³ = 0

   This is a cubic equation. Let's first try to factor out an x from each term: x(49 + 14x + x²) = 0

   Now, we have a quadratic expression inside the parentheses: x(7x + 7)(7x + 2) = 0

   Next, set each factor equal to zero and solve for x: x = 0 7x + 7 = 0 => 7x = -7 => x = -1 7x + 2 = 0 => 7x = -2 => x = -2/7

   So, the solutions are x = 0, x = -1, and x = -2/7.