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受欢迎的代数 >

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

解答

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

解答

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

+1

十进制

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

求解步骤

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

化简

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

在两边乘以

78125

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

2187 x^{2} = 78125

两边除以

2187

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

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

对于

x^{2} = f (a)

解为

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

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}

作图

流行的例子

2sqrt(21^2)+4^2=c^2

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

solvefor x,x^2-2x+y^2-4y+5=0

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

solvefor x,(2x-1)(3x+q+2)=3x+q+2

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=3x^2=-4

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