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受欢迎的代数 >

solvefor x,kx^2+3kx+6=0

解答

x, k x^{2} + 3 k x + 6 = 0

解答

x = \frac{- 3 k + 9 k ^{2} - 24 k}{2 k}, x = \frac{- 3 k - 9 k ^{2} - 24 k}{2 k}; k \neq = 0

求解步骤

k x^{2} + 3 k x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 k \pm ( 3 k ) ^{2} - 4 k \cdot 6}{2 k}

化简

(3 k)^{2} - 4 k \cdot 6 : 9 k^{2} - 24 k

x_{1, 2} = \frac{- 3 k \pm 9 k ^{2} - 24 k}{2 k}; k \neq = 0

将解分隔开

x_{1} = \frac{- 3 k + 9 k ^{2} - 24 k}{2 k}, x_{2} = \frac{- 3 k - 9 k ^{2} - 24 k}{2 k}

x = \frac{- 3 k + 9 k ^{2} - 24 k}{2 k}; k \neq = 0

x = \frac{- 3 k - 9 k ^{2} - 24 k}{2 k}; k \neq = 0

二次方程组的解是:

x = \frac{- 3 k + 9 k ^{2} - 24 k}{2 k}, x = \frac{- 3 k - 9 k ^{2} - 24 k}{2 k}; k \neq = 0

作图

流行的例子

x (x + 7) = x + 7

m^{2} - 8 m + 41 = 0

- 6 x^{2} + 32 = 0

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(3x^2)/2+4x-2/3 =0

\frac{3 x ^{2}}{2} + 4 x - \frac{2}{3} = 0