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受欢迎的代数 >

c^3-c^2+c-6=0

解答

c^{3} - c^{2} + c - 6 = 0

解答

c = 2, c = - \frac{1}{2} + i \frac{11}{2}, c = - \frac{1}{2} - i \frac{11}{2}

求解步骤

c^{3} - c^{2} + c - 6 = 0

因式分解

c^{3} - c^{2} + c - 6 : (c - 2) (c^{2} + c + 3)

(c - 2) (c^{2} + c + 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

c - 2 = 0 or c^{2} + c + 3 = 0

解

c - 2 = 0 : c = 2

解

c^{2} + c + 3 = 0 : c = - \frac{1}{2} + i \frac{11}{2}, c = - \frac{1}{2} - i \frac{11}{2}

解为

c = 2, c = - \frac{1}{2} + i \frac{11}{2}, c = - \frac{1}{2} - i \frac{11}{2}

作图

流行的例子

solvefor x,25x^4-625y-500=0

so l v e f or x, 25 x^{4} - 625 y - 500 = 0

2x^3+10x^2+12x=0

2 x^{3} + 10 x^{2} + 12 x = 0

0 = 2 x^{3} + 3

y^5-18y^4+69y^3=0

y^{5} - 18 y^{4} + 69 y^{3} = 0

x^3-9x^2+24x-8=0

x^{3} - 9 x^{2} + 24 x - 8 = 0