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人気のある代数 >

solvefor p,p^2+(x-e^x)p-e^x=0

解

解く

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

解

p = \frac{- x + e ^{x} + ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2}, p = \frac{- x + e ^{x} - ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2}

解答ステップ

p^{2} + (x - e^{x}) p - e^{x} = 0

解くとthe二次式

p_{1, 2} = \frac{- ( x - e ^{x} ) \pm ( x - e ^{x} ) ^{2} - 4 \cdot 1 \cdot ( - e ^{x} )}{2 \cdot 1}

簡素化

(x - e^{x})^{2} - 4 \cdot 1 \cdot (- e^{x}) : (x - e^{x})^{2} + 4 e^{x}

p_{1, 2} = \frac{- ( x - e ^{x} ) \pm ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2 \cdot 1}

解を分離する

p_{1} = \frac{- ( x - e ^{x} ) + ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2 \cdot 1}, p_{2} = \frac{- ( x - e ^{x} ) - ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2 \cdot 1}

p = \frac{- ( x - e ^{x} ) + ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2 \cdot 1} : \frac{- x + e ^{x} + ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2}

p = \frac{- ( x - e ^{x} ) - ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2 \cdot 1} : \frac{- x + e ^{x} - ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2}

二次equationの解:

p = \frac{- x + e ^{x} + ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2}, p = \frac{- x + e ^{x} - ( x - e ^{x} ) ^{2} + 4 e ^{x}}{2}

グラフ

人気の例

-8h^2+l_{1}+6h*l_{1}=0

- 8 h^{2} + l_{1} + 6 h \cdot l_{1} = 0

- 5 x^{2} + 34 x - 24 = 0

x^{1} + 2 x^{2} = 5

x(4-x)+5x=x^2+3x

x (4 - x) + 5 x = x^{2} + 3 x

6 x^{2} - 29 x + 35 = 0