4x^2-16x-48=0

解答

4 x^{2} - 16 x - 48 = 0

x = 6, x = - 2

求解步骤

4 x^{2} - 16 x - 48 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 4 ( - 48 )}{2 \cdot 4}

(- 16)^{2} - 4 \cdot 4 (- 48) = 32

x_{1, 2} = \frac{- ( - 16 ) \pm 32}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 32}{2 \cdot 4}, x_{2} = \frac{- ( - 16 ) - 32}{2 \cdot 4}

x = \frac{- ( - 16 ) + 32}{2 \cdot 4} : 6

x = \frac{- ( - 16 ) - 32}{2 \cdot 4} : - 2

二次方程组的解是:

x = 6, x = - 2

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