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受欢迎的代数 >

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

解答

4 = \frac{x}{2 x - 2}

解答

x = 8 (4 + 14), x = 8 (4 - 14)

+1

十进制

x = 61.93325 \dots, x = 2.06674 \dots

求解步骤

4 = \frac{x}{2 x - 2}

在两边乘以

2 x - 2

4 \cdot 2 x - 2 = \frac{x}{2 x - 2} \cdot 2 x - 2

化简

8 x - 2 = x

两边进行平方:

64 x - 128 = x^{2}

64 x - 128 = x^{2}

解

64 x - 128 = x^{2} : x = 8 (4 + 14), x = 8 (4 - 14)

x = 8 (4 + 14), x = 8 (4 - 14)

验证解:

x = 8 (4 + 14)

真

, x = 8 (4 - 14)

真

解为

x = 8 (4 + 14), x = 8 (4 - 14)

作图

流行的例子

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

2 x + 1 + x - 1 = 4

3=sqrt(3x^3+2x^2+3x+1)

3 = 3 x^{3} + 2 x^{2} + 3 x + 1

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

2 x + 1 + x - 1 = 1

x^2+3x-sqrt(x^2+3x-1)-7=0

x^{2} + 3 x - x^{2} + 3 x - 1 - 7 = 0

sqrt(x+10)+sqrt(x+19)=-1

x + 10 + x + 19 = - 1