Question

Задание 794. Решите уравнение.​

Answer 1

Решение и ответ:

$\displaystyle \frac{{x-5}}{4}=7-\frac{{2x-11}}{3}$

$\displaystyle \frac{{x-5}}{4}=\frac{{21}}{3}-\frac{{2x-11}}{3}$

$\displaystyle \frac{{x-5}}{4}=\frac{{21-2x+11}}{3}$

$\displaystyle \frac{{x-5}}{4}=\frac{{32-2x}}{3}$

$\displaystyle 4\cdot\left({32-2x}\right)=3\cdot\left({x-5}\right)$

$\displaystyle 128-8x=3x-15$

$\displaystyle -8x-3x=-15-128$

$\displaystyle\\ -11x=-143$

$\displaystyle x=-143\div(-11)$

$\displaystyle \boxed{x=13}$

Answer 2

Solving the Equation

To solve the given equation, we'll start by identifying the equation and then proceed with the solution.

The given equation is: 2x^2 - |x| + 5^2 = 42

To solve for x, we'll follow these steps: 1. Rewrite the equation in a standard form. 2. Use the quadratic formula to find the solutions for x.

Let's proceed with solving the equation.