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受欢迎的代数 >

2x+1/(sqrt(1-x^2))=0

解答

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

解答

x = - \frac{1}{2}

+1

十进制

x = - 0.70710 \dots

求解步骤

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

在两边乘以

1 - x^{2}

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

化简

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

去除平方根

4 x^{2} - 4 x^{4} = 1

解

4 x^{2} - 4 x^{4} = 1 : x = \frac{1}{2}, x = - \frac{1}{2}

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

验证解:

x = \frac{1}{2}

假

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

真

解是

x = - \frac{1}{2}

作图

流行的例子

2 t + 15 = t

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

x^{\frac{3}{2}} - 2 x^{\frac{1}{2}} + x = 0

sqrt(x+13)-8=-2

x + 13 - 8 = - 2

5/9 x^{5/3}+92=-43

\frac{5}{9} x^{\frac{5}{3}} + 92 = - 43

solvefor k,Y=10*2k^{0.5}k^{0.4}

so l v e f or k, Y = 10 \cdot 2 k^{0.5} k^{0.4}