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受欢迎的代数 >

x^3+8=(x+2)

解答

x^{3} + 8 = (x + 2)

解答

x = - 2, x = 1 + 2 i, x = 1 - 2 i

求解步骤

x^{3} + 8 = (x + 2)

整理后得

x^{3} + 8 = x + 2

将

2

para o lado esquerdo

x^{3} + 6 = x

将

x

para o lado esquerdo

x^{3} + 6 - x = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{3} - x + 6 = 0

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x + 2 = 0 : x = - 2

解

x^{2} - 2 x + 3 = 0 : x = 1 + 2 i, x = 1 - 2 i

解为

x = - 2, x = 1 + 2 i, x = 1 - 2 i

作图

流行的例子

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

x^5-4x^4-2x^3+4x^2+x=0

x^{5} - 4 x^{4} - 2 x^{3} + 4 x^{2} + x = 0

-x^3+446.8x^2+551x+257.6=0

- x^{3} + 446.8 x^{2} + 551 x + 257.6 = 0

solvefor y,1+7xy^4-3z^3=0

so l v e f or y, 1 + 7 x y^{4} - 3 z^{3} = 0

70x^3+24x^2-10x+20=0

70 x^{3} + 24 x^{2} - 10 x + 20 = 0