a^2-2a-224=0

解答

a^{2} - 2 a - 224 = 0

a = 16, a = - 14

求解步骤

a^{2} - 2 a - 224 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 224 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 224) = 30

a_{1, 2} = \frac{- ( - 2 ) \pm 30}{2 \cdot 1}

将解分隔开

a_{1} = \frac{- ( - 2 ) + 30}{2 \cdot 1}, a_{2} = \frac{- ( - 2 ) - 30}{2 \cdot 1}

a = \frac{- ( - 2 ) + 30}{2 \cdot 1} : 16

a = \frac{- ( - 2 ) - 30}{2 \cdot 1} : - 14

二次方程组的解是:

a = 16, a = - 14

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