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受欢迎的代数 >

ax^2-(a-5)x+1=0,a

解答

a x^{2} - (a - 5) x + 1 = 0, a

解答

x = \frac{a - 5 + a ^{2} - 14 a + 25}{2 a}, x = \frac{a - 5 - a ^{2} - 14 a + 25}{2 a}; a \neq = 0

求解步骤

a x^{2} - (a - 5) x + 1 = 0

展开

a x^{2} - (a - 5) x + 1 : a x^{2} - a x + 5 x + 1

a x^{2} - a x + 5 x + 1 = 0

改写成标准形式

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

a x^{2} + (- a + 5) x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - a + 5 ) \pm ( - a + 5 ) ^{2} - 4 a \cdot 1}{2 a}

化简

(- a + 5)^{2} - 4 a \cdot 1 : a^{2} - 14 a + 25

x_{1, 2} = \frac{- ( - a + 5 ) \pm a ^{2} - 14 a + 25}{2 a}; a \neq = 0

将解分隔开

x_{1} = \frac{- ( - a + 5 ) + a ^{2} - 14 a + 25}{2 a}, x_{2} = \frac{- ( - a + 5 ) - a ^{2} - 14 a + 25}{2 a}

x = \frac{- ( - a + 5 ) + a ^{2} - 14 a + 25}{2 a} : \frac{a - 5 + a ^{2} - 14 a + 25}{2 a}

x = \frac{- ( - a + 5 ) - a ^{2} - 14 a + 25}{2 a} : \frac{a - 5 - a ^{2} - 14 a + 25}{2 a}

二次方程组的解是:

x = \frac{a - 5 + a ^{2} - 14 a + 25}{2 a}, x = \frac{a - 5 - a ^{2} - 14 a + 25}{2 a}; a \neq = 0

作图

流行的例子

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10 x^{2} - 1500 x + 180000 = 0

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