Найдите больший корень уравнения x²-3/2+8-x/3=12 и запишите

Чупа_3585

5

Хорошо, давайте найдем больший корень уравнения полностью.

Исходное уравнение: \(x^2 - \frac{3}{2} + 8 - \frac{x}{3} = 12\)

Для начала, давайте приведем все слагаемые в уравнении к общему знаменателю для упрощения вычислений. Знаменатель с подобными слагаемыми выбирается в соответствии с обычными математическими правилами.

Умножим каждое слагаемое числителем и знаменателем 3, чтобы избавиться от дробей:

\(3x^2 - \frac{9}{6} + 24 - x = 36\)

Затем упростим дробь \(\frac{9}{6}\), которая равна \(\frac{3}{2}\):

\(3x^2 - \frac{3}{2} + 24 - x = 36\)

Теперь объединим все слагаемые:

\(3x^2 - x + \frac{45}{2} = 36\)

Для решения уравнения, давайте приведем его к квадратному виду и найдем его корни:

\(3x^2 - x + \frac{45}{2} - 36 = 0\)

Упростим:

\(3x^2 - x - \frac{27}{2} = 0\)

Теперь мы можем использовать формулу дискриминанта для нахождения корней.

Дискриминант \(D\) для данного уравнения равен:

\(D = b^2 - 4ac\)

где \(a = 3\), \(b = -1\) и \(c = -\frac{27}{2}\).

Подставим значения и найдем \(D\):

\(D = (-1)^2 - 4 \cdot 3 \cdot (-\frac{27}{2})\)

\(D = 1 + 4 \cdot 3 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

Теперь вычислим значение \(D\):

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36 \cdot \frac{27}{2}\)

\(D = 1 + 36