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受欢迎的代数 >

x^3-9x^2-25x+33=0

解答

x^{3} - 9 x^{2} - 25 x + 33 = 0

解答

x = 1, x = - 3, x = 11

求解步骤

x^{3} - 9 x^{2} - 25 x + 33 = 0

因式分解

x^{3} - 9 x^{2} - 25 x + 33 : (x - 1) (x + 3) (x - 11)

(x - 1) (x + 3) (x - 11) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 1 = 0 or x + 3 = 0 or x - 11 = 0

解

x - 1 = 0 : x = 1

解

x + 3 = 0 : x = - 3

解

x - 11 = 0 : x = 11

解为

x = 1, x = - 3, x = 11

作图

流行的例子

m^{3} + 4 m = 0

r^4+r^3-7r^2-r+6=0

r^{4} + r^{3} - 7 r^{2} - r + 6 = 0

4 x - 4 x^{9} = 0

solvefor y,(x^2+y^2)^2=x^2-y^2

so l v e f or y, (x^{2} + y^{2})^{2} = x^{2} - y^{2}

根 x^3-x^2-x+1=0

roo t s x^{3} - x^{2} - x + 1 = 0