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受欢迎的代数 >

x^2+5x+1^2=4

解答

x^{2} + 5 x + 1^{2} = 4

解答

x = \frac{- 5 + 37}{2}, x = \frac{- 5 - 37}{2}

+1

十进制

x = 0.54138 \dots, x = - 5.54138 \dots

求解步骤

x^{2} + 5 x + 1^{2} = 4

展开

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

x^{2} + 5 x + 1 = 4

将

4

para o lado esquerdo

x^{2} + 5 x - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 3) = 37

x_{1, 2} = \frac{- 5 \pm 37}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 5 + 37}{2 \cdot 1}, x_{2} = \frac{- 5 - 37}{2 \cdot 1}

x = \frac{- 5 + 37}{2 \cdot 1} : \frac{- 5 + 37}{2}

x = \frac{- 5 - 37}{2 \cdot 1} : \frac{- 5 - 37}{2}

二次方程组的解是:

x = \frac{- 5 + 37}{2}, x = \frac{- 5 - 37}{2}

作图

流行的例子

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- 3 x^{2} - 51 x - 216 = 0

6 (x + 12) = x^{2}

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(x + 5)^{2} = 10 x + 50

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