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受欢迎的代数 >

solvefor x,4x^2-4mx+5m=0

解答

x, 4 x^{2} - 4 m x + 5 m = 0

解答

x = \frac{m + m ( m - 5 )}{2}, x = \frac{m - m ( m - 5 )}{2}

求解步骤

4 x^{2} - 4 m x + 5 m = 0

使用求根公式求解

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

化简

(- 4 m)^{2} - 4 \cdot 4 \cdot 5 m : 4 m (m - 5)

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

将解分隔开

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

x = \frac{- ( - 4 m ) + 4 m ( m - 5 )}{2 \cdot 4} : \frac{m + m ( m - 5 )}{2}

x = \frac{- ( - 4 m ) - 4 m ( m - 5 )}{2 \cdot 4} : \frac{m - m ( m - 5 )}{2}

二次方程组的解是:

x = \frac{m + m ( m - 5 )}{2}, x = \frac{m - m ( m - 5 )}{2}

作图

流行的例子

- 6 x^{2} + 8 x - 5 = 0

x^{2} + 3 x = x + 2

x^{2} - 3 x + 5 = 2 x - 9

2(5x+9)^2+10=28

2 (5 x + 9)^{2} + 10 = 28

2 x^{2} + 5 = 5 x^{2} - 37