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受欢迎的代数 >

4x^2-15x-1=0

解答

4 x^{2} - 15 x - 1 = 0

解答

x = \frac{15 + 241}{8}, x = \frac{15 - 241}{8}

+1

十进制

x = 3.81552 \dots, x = - 0.06552 \dots

求解步骤

4 x^{2} - 15 x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 4 ( - 1 )}{2 \cdot 4}

(- 15)^{2} - 4 \cdot 4 (- 1) = 241

x_{1, 2} = \frac{- ( - 15 ) \pm 241}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 15 ) + 241}{2 \cdot 4}, x_{2} = \frac{- ( - 15 ) - 241}{2 \cdot 4}

x = \frac{- ( - 15 ) + 241}{2 \cdot 4} : \frac{15 + 241}{8}

x = \frac{- ( - 15 ) - 241}{2 \cdot 4} : \frac{15 - 241}{8}

二次方程组的解是:

x = \frac{15 + 241}{8}, x = \frac{15 - 241}{8}

作图

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