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受欢迎的代数 >

(m-3)x^2-2mx+m+2=0

解答

(m - 3) x^{2} - 2 m x + m + 2 = 0

解答

x = \frac{m + m + 6}{m - 3}, x = \frac{m - m + 6}{m - 3}; m \neq = 3

求解步骤

(m - 3) x^{2} - 2 m x + m + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 m ) \pm ( - 2 m ) ^{2} - 4 ( m - 3 ) ( m + 2 )}{2 ( m - 3 )}

化简

(- 2 m)^{2} - 4 (m - 3) (m + 2) : 2 m + 6

x_{1, 2} = \frac{- ( - 2 m ) \pm 2 m + 6}{2 ( m - 3 )}; m \neq = 3

将解分隔开

x_{1} = \frac{- ( - 2 m ) + 2 m + 6}{2 ( m - 3 )}, x_{2} = \frac{- ( - 2 m ) - 2 m + 6}{2 ( m - 3 )}

x = \frac{- ( - 2 m ) + 2 m + 6}{2 ( m - 3 )} : \frac{m + m + 6}{m - 3}

x = \frac{- ( - 2 m ) - 2 m + 6}{2 ( m - 3 )} : \frac{m - m + 6}{m - 3}

二次方程组的解是:

x = \frac{m + m + 6}{m - 3}, x = \frac{m - m + 6}{m - 3}; m \neq = 3

作图

流行的例子

- 6 x^{2} = 3 x - 3

2 x^{2} - 3 = 15

0=x^2-x*10^{-4.76}-0.2*10^{-4.76}

0 = x^{2} - x \cdot 1 0^{- 4.76} - 0.2 \cdot 1 0^{- 4.76}

x - 1 = 1 - x^{2}

48x^2-168x+72=0

48 x^{2} - 168 x + 72 = 0