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受欢迎的代数 >

solvefor x,x^2+3x-1=0

解答

x, x^{2} + 3 x - 1 = 0

解答

x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

+1

十进制

x = 0.30277 \dots, x = - 3.30277 \dots

求解步骤

x^{2} + 3 x - 1 = 0

使用求根公式求解

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

3^{2} - 4 \cdot 1 \cdot (- 1) = 13

x_{1, 2} = \frac{- 3 \pm 13}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 3 + 13}{2 \cdot 1}, x_{2} = \frac{- 3 - 13}{2 \cdot 1}

x = \frac{- 3 + 13}{2 \cdot 1} : \frac{- 3 + 13}{2}

x = \frac{- 3 - 13}{2 \cdot 1} : \frac{- 3 - 13}{2}

二次方程组的解是:

x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

作图

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