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受欢迎的代数 >

x^3+7x^2+24x+18=0

解答

x^{3} + 7 x^{2} + 24 x + 18 = 0

解答

x = - 1, x = - 3 + 3 i, x = - 3 - 3 i

求解步骤

x^{3} + 7 x^{2} + 24 x + 18 = 0

因式分解

x^{3} + 7 x^{2} + 24 x + 18 : (x + 1) (x^{2} + 6 x + 18)

(x + 1) (x^{2} + 6 x + 18) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or x^{2} + 6 x + 18 = 0

解

x + 1 = 0 : x = - 1

解

x^{2} + 6 x + 18 = 0 : x = - 3 + 3 i, x = - 3 - 3 i

解为

x = - 1, x = - 3 + 3 i, x = - 3 - 3 i

作图

流行的例子

x^{5} = 4 x^{3}

x^{3} - 3 x^{2} + x + 5 = 0

solvefor x,x^4-6x^2+5=0

so l v e f or x, x^{4} - 6 x^{2} + 5 = 0

3(36x^2-49)(x^2+64)=0

3 (36 x^{2} - 49) (x^{2} + 64) = 0

2 x^{3} = 50 x