(5/3)^2x*(3/5)^9x=1

الحلّ

(\frac{5}{3})^{2} x \cdot (\frac{3}{5})^{9} x = 1

x = \frac{125 5}{27 3}, x = - \frac{125 5}{27 3}

عشري

x = 5.97682 \dots, x = - 5.97682 \dots

خطوات الحلّ

(\frac{5}{3})^{2} x (\frac{3}{5})^{9} x = 1

بسّط

\frac{2187 x ^{2}}{78125} = 1

78125

اضرب الطرفين بـ

\frac{78125 \cdot 2187 x ^{2}}{78125} = 1 \cdot 78125

2187 x^{2} = 78125

2187

اقسم الطرفين على

\frac{2187 x ^{2}}{2187} = \frac{78125}{2187}

x^{2} = \frac{78125}{2187}

x = f (a), - f (a)

الحلول هي

x^{2} = f (a)

لـ

x = \frac{78125}{2187}, x = - \frac{78125}{2187}

\frac{78125}{2187} = \frac{125 5}{27 3}

- \frac{78125}{2187} = - \frac{125 5}{27 3}

x = \frac{125 5}{27 3}, x = - \frac{125 5}{27 3}

2 2 1^{2} + 4^{2} = c^{2}

so l v e f or x, x^{2} - 2 x + y^{2} - 4 y + 5 = 0

so l v e f or x, (2 x - 1) (3 x + q + 2) = 3 x + q + 2

x (x + 4) = 12126

x^{2} + x - 12 = 0, x^{1} = 3 x^{2} = - 4