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受欢迎的代数 >

4x+3=x^3+3x^2-9x-12

解答

4 x + 3 = x^{3} + 3 x^{2} - 9 x - 12

解答

x = - 1, x = 3, x = - 5

求解步骤

4 x + 3 = x^{3} + 3 x^{2} - 9 x - 12

交换两边

x^{3} + 3 x^{2} - 9 x - 12 = 4 x + 3

将

3

para o lado esquerdo

x^{3} + 3 x^{2} - 9 x - 15 = 4 x

将

4 x

para o lado esquerdo

x^{3} + 3 x^{2} - 13 x - 15 = 0

因式分解

x^{3} + 3 x^{2} - 13 x - 15 : (x + 1) (x - 3) (x + 5)

(x + 1) (x - 3) (x + 5) = 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 + 5 = 0

解

x + 1 = 0 : x = - 1

解

x - 3 = 0 : x = 3

解

x + 5 = 0 : x = - 5

解为

x = - 1, x = 3, x = - 5

作图

流行的例子

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

5x^3+23x^2+20x-12=0

5 x^{3} + 23 x^{2} + 20 x - 12 = 0

x^{3} - x - 3360 = 0

b^3+2b^2-10b-19=0

b^{3} + 2 b^{2} - 10 b - 19 = 0

solvefor x,x^3+y^3=x^3y^3

so l v e f or x, x^{3} + y^{3} = x^{3} y^{3}