Question

(x²-4)(|4|-7)(1/2x-19)=0​

Answer 1

Ответ:

x₁ = ±2

x₂ = ±7

x₃ = 38

Пошаговое объяснение:

(x²-4)(|4|-7)(1/2x-19) = 0​

x²-4 = 0;     │x│-7 = 0;        0.5x-19 = 0

x² = 4;         x = ±7;              0.5x = 19

x = ±2;                                 x = 38

Answer 2

Ответ:

Принцип таких уравнений: чтобы найти корни, нужно каждую из скобок приравнять к нулю. Получаем три уравнения: 1)x^2-4=0, x=2 или x=-2 2)|x|-7=0, x=7 или x=-7 3)1/2x-19=0, x=38 Всего 5 корней.

Answer 3

To solve the equation $(x^2 - 4)(|4| - 7)(\frac{1}{2}x - 19) = 0$, follow these steps:

1. Simplify the equation by evaluating the absolute value and multiplying the constants: $(x^2 - 4)(4 - 7)(\frac{1}{2}x - 19) = 0$ $(x^2 - 4)(-3)(\frac{1}{2}x - 19) = 0$ $-3(x^2 - 4)(\frac{1}{2}x - 19) = 0$

2. Expand the terms within the parentheses: $-3(x^2 - 4)(\frac{1}{2}x - 19) = 0$ $-\frac{3}{2}x^3 + 45x^2 - 12x + 228 = 0$

3. Factor the equation, if possible. In this case, factoring is not straightforward, so you might need to use numerical methods or a calculator to approximate the solutions.

If you want to find numerical solutions, you can use methods like the Newton-Raphson method or use a graphing calculator to find the x-values where the equation equals zero.

Alternatively, you can use a computer algebra system like Mathematica, Wolfram Alpha, or similar tools to find approximate solutions.

Keep in mind that the given equation is a cubic equation, and cubic equations can sometimes have complex solutions or require numerical approximation methods to find accurate solutions.