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受欢迎的代数 >

x^2-(m+1)x-2m+1=0

解答

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

解答

x = \frac{m + 1 + m ^{2} + 10 m - 3}{2}, x = \frac{m + 1 - m ^{2} + 10 m - 3}{2}

求解步骤

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

使用求根公式求解

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

化简

(- m - 1)^{2} - 4 \cdot 1 \cdot (- 2 m + 1) : m^{2} + 10 m - 3

x_{1, 2} = \frac{- ( - m - 1 ) \pm m ^{2} + 10 m - 3}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - m - 1 ) + m ^{2} + 10 m - 3}{2 \cdot 1}, x_{2} = \frac{- ( - m - 1 ) - m ^{2} + 10 m - 3}{2 \cdot 1}

x = \frac{- ( - m - 1 ) + m ^{2} + 10 m - 3}{2 \cdot 1} : \frac{m + 1 + m ^{2} + 10 m - 3}{2}

x = \frac{- ( - m - 1 ) - m ^{2} + 10 m - 3}{2 \cdot 1} : \frac{m + 1 - m ^{2} + 10 m - 3}{2}

二次方程组的解是:

x = \frac{m + 1 + m ^{2} + 10 m - 3}{2}, x = \frac{m + 1 - m ^{2} + 10 m - 3}{2}

作图

流行的例子

44.9=10t+4.9t^2

44.9 = 10 t + 4.9 t^{2}

(1 - x) \cdot (5 + 2 x) = 5

3 u^{2} + 11 u = - 6

2 x^{2} = - 5 x - 2

completesquare x^2+14x+44=0

co m pl e t es q u a re x^{2} + 14 x + 44 = 0