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受欢迎的代数 >

5/(2sqrt(5x-1))= 5/9

解答

\frac{5}{2 5 x - 1} = \frac{5}{9}

解答

x = \frac{17}{4}

+1

十进制

x = 4.25

求解步骤

\frac{5}{2 5 x - 1} = \frac{5}{9}

使用分式交叉相乘: 若

\frac{a}{b} = \frac{c}{d}

则

a \cdot d = b \cdot c

5 \cdot 9 = 2 5 x - 1 \cdot 5

展开

2 5 x - 1 \cdot 5 : 10 5 x - 1

5 \cdot 9 = 10 5 x - 1

交换两边

10 5 x - 1 = 5 \cdot 9

数字相乘:

5 \cdot 9 = 45

10 5 x - 1 = 45

两边除以

10

5 x - 1 = \frac{9}{2}

两边进行平方:

5 x - 1 = \frac{81}{4}

5 x - 1 = \frac{81}{4}

解

5 x - 1 = \frac{81}{4} : x = \frac{17}{4}

x = \frac{17}{4}

验证解:

x = \frac{17}{4}

真

解是

x = \frac{17}{4}

作图

流行的例子

sqrt(x-7)+12=28

x - 7 + 12 = 28

x^{2/5}+3x^{1/5}-4=0

x^{\frac{2}{5}} + 3 x^{\frac{1}{5}} - 4 = 0

x + 5 = x - 7

8 = 14 - 5 x

sqrt(2x+7)-sqrt(x-3)=1

2 x + 7 - x - 3 = 1