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受欢迎的代数 >

(x^2-9)(x^2+1)=0

解答

(x^{2} - 9) (x^{2} + 1) = 0

解答

x = - 3, x = 3, x = i, x = - i

求解步骤

(x^{2} - 9) (x^{2} + 1) = 0

因式分解

(x^{2} - 9) (x^{2} + 1) : (x + 3) (x - 3) (x^{2} + 1)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x + 3 = 0 : x = - 3

解

x - 3 = 0 : x = 3

解

x^{2} + 1 = 0 : x = i, x = - i

解为

x = - 3, x = 3, x = i, x = - i

作图

流行的例子

x^{4} - 3 x^{3} = 0

x^3+2x^2-36x-72=0

x^{3} + 2 x^{2} - 36 x - 72 = 0

x (x - 2) (x + 2) = 0

13e^9e+4=-5e+14+13e^9

13 e^{9} e + 4 = - 5 e + 14 + 13 e^{9}

x^4-3x^3+4x^2-3x+1=0

x^{4} - 3 x^{3} + 4 x^{2} - 3 x + 1 = 0