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受欢迎的代数 >

2x^3+4x=6x^2

解答

2 x^{3} + 4 x = 6 x^{2}

解答

x = 0, x = 1, x = 2

求解步骤

2 x^{3} + 4 x = 6 x^{2}

将

6 x^{2}

para o lado esquerdo

2 x^{3} + 4 x - 6 x^{2} = 0

因式分解

2 x^{3} + 4 x - 6 x^{2} : 2 x (x - 1) (x - 2)

2 x (x - 1) (x - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 1 = 0 or x - 2 = 0

解

x - 1 = 0 : x = 1

解

x - 2 = 0 : x = 2

解为

x = 0, x = 1, x = 2

作图

流行的例子

5y^3-44y^2-9y=0

5 y^{3} - 44 y^{2} - 9 y = 0

- 3 x^{4} = 0

(y^2-1)^2-10(y^2-1)+16=0

(y^{2} - 1)^{2} - 10 (y^{2} - 1) + 16 = 0

x^{3} - 1 x^{7} = 0

-x^3-5x^2+25x-2=0

- x^{3} - 5 x^{2} + 25 x - 2 = 0