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人気のある代数 >

solvefor x,x(1-x)+m-hx=0

解

解く

x, x (1 - x) + m - h x = 0

解

x = - \frac{- 1 + h + ( 1 - h ) ^{2} + 4 m}{2}, x = - \frac{- 1 + h - ( 1 - h ) ^{2} + 4 m}{2}

解答ステップ

x (1 - x) + m - h x = 0

拡張

x (1 - x) + m - h x : x - x^{2} + m - x h

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

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(1 - h)^{2} - 4 (- 1) m : (1 - h)^{2} + 4 m

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

解を分離する

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

x = \frac{- ( 1 - h ) + ( 1 - h ) ^{2} + 4 m}{2 ( - 1 )} : - \frac{- 1 + h + ( 1 - h ) ^{2} + 4 m}{2}

x = \frac{- ( 1 - h ) - ( 1 - h ) ^{2} + 4 m}{2 ( - 1 )} : - \frac{- 1 + h - ( 1 - h ) ^{2} + 4 m}{2}

二次equationの解:

x = - \frac{- 1 + h + ( 1 - h ) ^{2} + 4 m}{2}, x = - \frac{- 1 + h - ( 1 - h ) ^{2} + 4 m}{2}

グラフ

人気の例

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

5 w^{2} - 2 w = 0

(4 x - 3)^{2} = 16

x^{2} - 14 x + 64 = 0

completesquare-x^2+8x+5

co m pl e t es q u a re - x^{2} + 8 x + 5