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受欢迎的代数 >

x^3+3x^2-14x-42=0

解答

x^{3} + 3 x^{2} - 14 x - 42 = 0

解答

x = - 3, x = - 14, x = 14

+1

十进制

x = - 3, x = - 3.74165 \dots, x = 3.74165 \dots

求解步骤

x^{3} + 3 x^{2} - 14 x - 42 = 0

因式分解

x^{3} + 3 x^{2} - 14 x - 42 : (x + 3) (x + 14) (x - 14)

(x + 3) (x + 14) (x - 14) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 3 = 0 or x + 14 = 0 or x - 14 = 0

解

x + 3 = 0 : x = - 3

解

x + 14 = 0 : x = - 14

解

x - 14 = 0 : x = 14

解为

x = - 3, x = - 14, x = 14

作图

流行的例子

a^{9} = 17 + (9 - 1) - 8

-x^3+3x^2+24x-80=0

- x^{3} + 3 x^{2} + 24 x - 80 = 0

-x^3-67x^2-185x-10=0

- x^{3} - 67 x^{2} - 185 x - 10 = 0

11000 = 0.68 x^{3}

solvefor m+n^2=g^5Q,g

so l v e f or m + n^{2} = g^{5} Q, g