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受欢迎的代数 >

x^3-8x^2+29x-52=0

解答

x^{3} - 8 x^{2} + 29 x - 52 = 0

解答

x = 4, x = 2 + 3 i, x = 2 - 3 i

求解步骤

x^{3} - 8 x^{2} + 29 x - 52 = 0

因式分解

x^{3} - 8 x^{2} + 29 x - 52 : (x - 4) (x^{2} - 4 x + 13)

(x - 4) (x^{2} - 4 x + 13) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 4 = 0 or x^{2} - 4 x + 13 = 0

解

x - 4 = 0 : x = 4

解

x^{2} - 4 x + 13 = 0 : x = 2 + 3 i, x = 2 - 3 i

解为

x = 4, x = 2 + 3 i, x = 2 - 3 i

作图

流行的例子

(1+0.35)=(1+x)^3

(1 + 0.35) = (1 + x)^{3}

r^{3} - r^{2} - 3 r - 1 = 0

solvefor a,a^4+b^4=1

so l v e f or a, a^{4} + b^{4} = 1

solvefor a,a^4+b^4=0

so l v e f or a, a^{4} + b^{4} = 0

x^{4} - 625 = 0