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受欢迎的代数 >

(6x^3)*x^2=6x(3x^2)

解答

(6 x^{3}) \cdot x^{2} = 6 x (3 x^{2})

解答

x = 0, x = - 3, x = 3

+1

十进制

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

求解步骤

(6 x^{3}) x^{2} = 6 x (3 x^{2})

将

6 x (3 x^{2})

para o lado esquerdo

6 x^{3} x^{2} - 6 x \cdot 3 x^{2} = 0

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x + 3 = 0 : x = - 3

解

x - 3 = 0 : x = 3

解为

x = 0, x = - 3, x = 3

作图

流行的例子

x^{4} + 2 x^{2} - 8 = 0

x^3-300-43+4= 148/37

x^{3} - 300 - 43 + 4 = \frac{148}{37}

q^{3} = \frac{1}{343}

x^4-3x^3-x^2+9x-6=0

x^{4} - 3 x^{3} - x^{2} + 9 x - 6 = 0

0 = (x + 3) (x^{2} + 4)