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受欢迎的代数 >

sqrt((2x)/(5+x))=3x

解答

\frac{2 x}{5 + x} = 3 x

解答

x = 0, x = \frac{- 15 + 233}{6}

+1

十进制

x = 0, x = 0.04405 \dots

求解步骤

\frac{2 x}{5 + x} = 3 x

两边进行平方:

\frac{2 x}{5 + x} = 9 x^{2}

\frac{2 x}{5 + x} = 9 x^{2}

解

\frac{2 x}{5 + x} = 9 x^{2} : x = 0, x = \frac{- 15 + 233}{6}, x = - \frac{15 + 233}{6}

x = 0, x = \frac{- 15 + 233}{6}, x = - \frac{15 + 233}{6}

验证解:

x = 0

真

, x = \frac{- 15 + 233}{6}

真

, x = - \frac{15 + 233}{6}

假

解为

x = 0, x = \frac{- 15 + 233}{6}

作图

流行的例子

sqrt(x+6)+sqrt(2-x)=4

x + 6 + 2 - x = 4

x^3=\sqrt[3]{x}

x^{3} = 3 x

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

x + 1 + 5 = x

x + 9 - 4 = 1