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受欢迎的代数 >

sqrt(2x+1)+2=sqrt(4x+9)

解答

2 x + 1 + 2 = 4 x + 9

解答

x = 4, x = 0

求解步骤

2 x + 1 + 2 = 4 x + 9

去除平方根

32 x + 16 = 4 x^{2} + 16 x + 16

解

32 x + 16 = 4 x^{2} + 16 x + 16 : x = 4, x = 0

x = 4, x = 0

验证解:

x = 4

真

, x = 0

真

解为

x = 4, x = 0

作图

流行的例子

3 = x - 1

sqrt(2x-1)-sqrt(x+3)+1=0

2 x - 1 - x + 3 + 1 = 0

sqrt(x)=(32)/(x^2)

x = \frac{32}{x ^{2}}

sqrt(4x-1)=2-2x

4 x - 1 = 2 - 2 x

-11\sqrt[3]{x}+13=-20

- 11 3 x + 13 = - 20