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受欢迎的 Geometry >

solvefor x,0=x^2+2x-2m(x)^2

解答

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

解答

x = 0, x = - \frac{2}{1 - 2 m}; m \neq = \frac{1}{2}

求解步骤

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

交换两边

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

改写成标准形式

a x^{2} + b x + c = 0

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

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( 1 - 2 m ) \cdot 0}{2 ( 1 - 2 m )}

2^{2} - 4 (1 - 2 m) \cdot 0 = 2

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

将解分隔开

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

x = \frac{- 2 + 2}{2 ( 1 - 2 m )} : 0

x = \frac{- 2 - 2}{2 ( 1 - 2 m )} : - \frac{2}{1 - 2 m}

二次方程组的解是:

x = 0, x = - \frac{2}{1 - 2 m}; m \neq = \frac{1}{2}

作图

流行的例子

((x-1)^2)/(36)-((y-2)^2)/(64)=1

\frac{( x - 1 ) ^{2}}{36} - \frac{( y - 2 ) ^{2}}{64} = 1

((x+1)^2)/3-((y-1)^2)/5 =1

\frac{( x + 1 ) ^{2}}{3} - \frac{( y - 1 ) ^{2}}{5} = 1

- 36 x^{2} + y^{2} = 36

16x^2-9y^2+96x+36y+252=0

16 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

4 y^{2} - x^{2} = 36