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受欢迎的代数 >

sqrt(2x+5)+sqrt(10x-4)=7

解答

2 x + 5 + 10 x - 4 = 7

解答

x = 2

求解步骤

2 x + 5 + 10 x - 4 = 7

去除平方根

64 x^{2} + 640 x + 1600 = 1960 x - 784

解

64 x^{2} + 640 x + 1600 = 1960 x - 784 : x = \frac{149}{8}, x = 2

x = \frac{149}{8}, x = 2

验证解:

x = \frac{149}{8}

假

, x = 2

真

解是

x = 2

作图

流行的例子

x^3+3x^2+3x-(x-6)^{1/3}+8=0

x^{3} + 3 x^{2} + 3 x - (x - 6)^{\frac{1}{3}} + 8 = 0

sqrt(x/((x-5)))+sqrt(((x-5))/x)= 21/6

\frac{x}{( x - 5 )} + \frac{( x - 5 )}{x} = \frac{21}{6}

2sqrt(x+1)-3sqrt(2x-5)=sqrt(x-2)

2 x + 1 - 3 2 x - 5 = x - 2

x^{\frac{1}{3}} = 8

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

2 - x + x - 3 = 5