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受欢迎的代数 >

abx^2-x(b-2a)=2

解答

ab x^{2} - x (b - 2 a) = 2

解答

x = \frac{1}{a}, x = - \frac{2}{b}; ab \neq = 0

求解步骤

ab x^{2} - x (b - 2 a) = 2

展开

ab x^{2} - x (b - 2 a) : ab x^{2} - b x + 2 a x

ab x^{2} - b x + 2 a x = 2

将

2

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( - b + 2 a ) \pm ( - b + 2 a ) ^{2} - 4 ab ( - 2 )}{2 ab}

化简

(- b + 2 a)^{2} - 4 ab (- 2) : 2 a + b

x_{1, 2} = \frac{- ( - b + 2 a ) \pm ( 2 a + b )}{2 ab}; ab \neq = 0

将解分隔开

x_{1} = \frac{- ( - b + 2 a ) + 2 a + b}{2 ab}, x_{2} = \frac{- ( - b + 2 a ) - ( 2 a + b )}{2 ab}

x = \frac{- ( - b + 2 a ) + 2 a + b}{2 ab} : \frac{1}{a}

x = \frac{- ( - b + 2 a ) - ( 2 a + b )}{2 ab} : - \frac{2}{b}

二次方程组的解是:

x = \frac{1}{a}, x = - \frac{2}{b}; ab \neq = 0

作图

流行的例子

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