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受欢迎的代数 >

18x^2-12mx+(6m-2)=0

解答

18 x^{2} - 12 m x + (6 m - 2) = 0

解答

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

求解步骤

18 x^{2} - 12 m x + (6 m - 2) = 0

整理后得

18 x^{2} - 12 m x + 6 m - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 m ) \pm ( - 12 m ) ^{2} - 4 \cdot 18 ( 6 m - 2 )}{2 \cdot 18}

化简

(- 12 m)^{2} - 4 \cdot 18 (6 m - 2) : 12 m^{2} + 1 - 3 m

x_{1, 2} = \frac{- ( - 12 m ) \pm 12 m ^{2} + 1 - 3 m}{2 \cdot 18}

将解分隔开

x_{1} = \frac{- ( - 12 m ) + 12 m ^{2} + 1 - 3 m}{2 \cdot 18}, x_{2} = \frac{- ( - 12 m ) - 12 m ^{2} + 1 - 3 m}{2 \cdot 18}

x = \frac{- ( - 12 m ) + 12 m ^{2} + 1 - 3 m}{2 \cdot 18} : \frac{m + m ^{2} - 3 m + 1}{3}

x = \frac{- ( - 12 m ) - 12 m ^{2} + 1 - 3 m}{2 \cdot 18} : \frac{m - m ^{2} - 3 m + 1}{3}

二次方程组的解是:

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

作图

流行的例子

b^{2} - 12 b - 9 = 8

solvefor x,3x^2-21x=0

so l v e f or x, 3 x^{2} - 21 x = 0

2 k (1) + k^{2} = 8

solvefor x,f(x+2)=-x^2+4x+1

so l v e f or x, f (x + 2) = - x^{2} + 4 x + 1

x (3 x - 7) = - 4