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受欢迎的代数 >

sqrt(x)=5-sqrt(x*5)

解答

x = 5 - x \cdot 5

解答

x = \frac{25 ( 3 - 5 )}{8}

+1

十进制

x = 2.38728 \dots

求解步骤

x = 5 - x \cdot 5

去除平方根

16 x^{2} + 200 x + 625 = 500 x

解

16 x^{2} + 200 x + 625 = 500 x : x = \frac{25 ( 3 + 5 )}{8}, x = \frac{25 ( 3 - 5 )}{8}

x = \frac{25 ( 3 + 5 )}{8}, x = \frac{25 ( 3 - 5 )}{8}

验证解:

x = \frac{25 ( 3 + 5 )}{8}

假

, x = \frac{25 ( 3 - 5 )}{8}

真

解是

x = \frac{25 ( 3 - 5 )}{8}

作图

流行的例子

x^{\frac{2}{3}} = 2

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

x^{2} = x

x + 3 = - 6

((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13))

\frac{( x + 3 )}{( x - 2 )} = \frac{( 3 x - 5 )}{( 3 x - 13 )}