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受欢迎的代数 >

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

解答

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

解答

x = \frac{3}{2}, x = - \frac{3}{2}

+1

十进制

x = 0.86602 \dots, x = - 0.86602 \dots

求解步骤

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

在两边乘以

1 - x^{2}

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

化简

2 1 - x^{2} = 1

两边除以

2

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

两边进行平方:

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

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

解

1 - x^{2} = \frac{1}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

x = \frac{3}{2}, x = - \frac{3}{2}

验证解:

x = \frac{3}{2}

真

, x = - \frac{3}{2}

真

解为

x = \frac{3}{2}, x = - \frac{3}{2}

作图

流行的例子

(3x+4)/(2sqrt(2+x))=0

\frac{3 x + 4}{2 2 + x} = 0

solvefor x,f(x-3)=sqrt(x-3)-3

so l v e f or x, f (x - 3) = x - 3 - 3

x - 4 x - 7 = 3

x^{2} = 8 x

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

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