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受欢迎的代数 >

a(x)=x^2-4x

解答

a (x) = x^{2} - 4 x

解答

x = 0, x = 4 + a

求解步骤

a (x) = x^{2} - 4 x

整理后得

a x = x^{2} - 4 x

交换两边

x^{2} - 4 x = a x

将

a x

para o lado esquerdo

x^{2} - 4 x - a x = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} - (4 + a) x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 - a ) \pm ( - 4 - a ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

化简

(- 4 - a)^{2} - 4 \cdot 1 \cdot 0 : - a - 4

x_{1, 2} = \frac{- ( - 4 - a ) \pm ( - a - 4 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 4 - a ) - a - 4}{2 \cdot 1}, x_{2} = \frac{- ( - 4 - a ) - ( - a - 4 )}{2 \cdot 1}

x = \frac{- ( - 4 - a ) - a - 4}{2 \cdot 1} : 0

x = \frac{- ( - 4 - a ) - ( - a - 4 )}{2 \cdot 1} : 4 + a

二次方程组的解是:

x = 0, x = 4 + a

作图

流行的例子

(x - 3) (8 x + 5) = 0

x^2-b^2+4a^2-4ax=0

x^{2} - b^{2} + 4 a^{2} - 4 a x = 0

因式分解 z^2+2z-35=0

f a c t or z^{2} + 2 z - 35 = 0

4x^2+8x+7=(x+B)^2,B

4 x^{2} + 8 x + 7 = (x + B)^{2}, B

completesquare 6x^2+84x+284

co m pl e t es q u a re 6 x^{2} + 84 x + 284