
3x^2 14x+11/14 = x+9/2 - x^2+x+1/5


Ответы на вопрос




I can help you solve this equation. First, let's simplify the equation by moving all the terms to one side and combining the like terms. We get:
$$4x^2 + 13x - 5/14 = 0$$
Next, we can use the quadratic formula to find the values of x that satisfy the equation. The quadratic formula is:
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
where a, b, and c are the coefficients of the quadratic equation. In our case, we have:
$$a = 4, b = 13, c = -5/14$$
Plugging these values into the quadratic formula, we get:
$$x = \frac{-13 \pm \sqrt{13^2 - 4(4)(-5/14)}}{2(4)}$$
Simplifying further, we get:
$$x = \frac{-13 \pm \sqrt{289/7}}{8}$$
To get the exact values of x, we need to rationalize the denominator of the square root. We can do this by multiplying and dividing by $\sqrt{7}$:
$$x = \frac{-13 \pm \sqrt{289/7} \cdot \sqrt{7}}{8}$$
$$x = \frac{-13 \pm \sqrt{2023}}{8}$$
These are the exact solutions of the equation. To get the approximate solutions, we can use a calculator to find the decimal values of the square roots. We get:
$$x \approx -0.25 \text{ or } -0.75$$
You can check your answers by plugging them back into the original equation and verifying that both sides are equal.
I hope this helps you understand how to solve quadratic equations. If you need more help, you can use one of these online calculators , , or . You can also watch some videos on this topic .


Топ вопросов за вчера в категории Алгебра
Последние заданные вопросы в категории Алгебра
-
Математика
-
Литература
-
Алгебра
-
Русский язык
-
Геометрия
-
Английский язык
-
Химия
-
Физика
-
Биология
-
Другие предметы
-
История
-
Обществознание
-
Окружающий мир
-
География
-
Українська мова
-
Информатика
-
Українська література
-
Қазақ тiлi
-
Экономика
-
Музыка
-
Право
-
Беларуская мова
-
Французский язык
-
Немецкий язык
-
МХК
-
ОБЖ
-
Психология
-
Физкультура и спорт
-
Астрономия
-
Кыргыз тили
-
Оʻzbek tili