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受欢迎的代数 >

x(x+2)=e^4

解答

x (x + 2) = e^{4}

解答

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

+1

十进制

x = 6.45641 \dots, x = - 8.45641 \dots

求解步骤

x (x + 2) = e^{4}

展开

x (x + 2) : x^{2} + 2 x

x^{2} + 2 x = e^{4}

将

e^{4}

para o lado esquerdo

x^{2} + 2 x - e^{4} = 0

使用求根公式求解

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

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

x_{1, 2} = \frac{- 2 \pm 4 + 4 e ^{4}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 2 + 4 + 4 e ^{4}}{2 \cdot 1}, x_{2} = \frac{- 2 - 4 + 4 e ^{4}}{2 \cdot 1}

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

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

二次方程组的解是:

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

作图

流行的例子

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