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受欢迎的代数 >

4x^2-9x-1=0

解答

4 x^{2} - 9 x - 1 = 0

解答

x = \frac{9 + 97}{8}, x = \frac{9 - 97}{8}

+1

十进制

x = 2.35610 \dots, x = - 0.10610 \dots

求解步骤

4 x^{2} - 9 x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 4 ( - 1 )}{2 \cdot 4}

(- 9)^{2} - 4 \cdot 4 (- 1) = 97

x_{1, 2} = \frac{- ( - 9 ) \pm 97}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 9 ) + 97}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 97}{2 \cdot 4}

x = \frac{- ( - 9 ) + 97}{2 \cdot 4} : \frac{9 + 97}{8}

x = \frac{- ( - 9 ) - 97}{2 \cdot 4} : \frac{9 - 97}{8}

二次方程组的解是:

x = \frac{9 + 97}{8}, x = \frac{9 - 97}{8}

作图

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