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受欢迎的代数 >

2x^2sqrt(x-2)=xsqrt(x-2)

解答

2 x^{2} x - 2 = x x - 2

解答

x = 2, x = \frac{1}{2}

+1

十进制

x = 2, x = 0.5

求解步骤

2 x^{2} x - 2 = x x - 2

将

x x - 2

para o lado esquerdo

2 x^{2} x - 2 - x x - 2 = 0

因式分解

2 x^{2} x - 2 - x x - 2 : x - 2 x (2 x - 1)

x - 2 x (2 x - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 2 = 0 or x = 0 or 2 x - 1 = 0

解

x - 2 = 0 : x = 2

解

2 x - 1 = 0 : x = \frac{1}{2}

x = 2, x = 0, x = \frac{1}{2}

验证解:

x = 2

真

, x = 0

假

, x = \frac{1}{2}

真

解为

x = 2, x = \frac{1}{2}

作图

流行的例子

(4x-1)^{3/2}-2=18

(4 x - 1)^{\frac{3}{2}} - 2 = 18

sqrt(2x-14)=sqrt(x)+1

2 x - 14 = x + 1

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

x + 2 - x - 1 = 1

4 - x^{2} = - x

k + 2 - 9 = 0