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受欢迎的代数 >

(1-x^2)*(-3-x^3-2)=0

解答

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

解答

x = - 1, x = 1, x = - 35, x = \frac{3 5}{2} + i \frac{3 5 ^{\frac{2}{3}}}{2}, x = \frac{3 5}{2} - i \frac{3 5 ^{\frac{2}{3}}}{2}

求解步骤

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

因式分解

(1 - x^{2}) (- 3 - x^{3} - 2) : (x + 1) (x - 1) (x + 35) (x^{2} - 35 x + 5^{\frac{2}{3}})

(x + 1) (x - 1) (x + 35) (x^{2} - 35 x + 5^{\frac{2}{3}}) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or x - 1 = 0 or x + 35 = 0 or x^{2} - 35 x + 5^{\frac{2}{3}} = 0

解

x + 1 = 0 : x = - 1

解

x - 1 = 0 : x = 1

解

x + 35 = 0 : x = - 35

解

x^{2} - 35 x + 5^{\frac{2}{3}} = 0 : x = \frac{3 5}{2} + i \frac{3 5 ^{\frac{2}{3}}}{2}, x = \frac{3 5}{2} - i \frac{3 5 ^{\frac{2}{3}}}{2}

解为

x = - 1, x = 1, x = - 35, x = \frac{3 5}{2} + i \frac{3 5 ^{\frac{2}{3}}}{2}, x = \frac{3 5}{2} - i \frac{3 5 ^{\frac{2}{3}}}{2}

作图

流行的例子

a^{2} + 1 0^{2} = 1 6^{2}

10 x^{2} + 1 = 0

x (x + 36) = 5152

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