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受欢迎的代数 >

4+q=16-q^2

解答

4 + q = 16 - q^{2}

解答

q = - 4, q = 3

求解步骤

4 + q = 16 - q^{2}

交换两边

16 - q^{2} = 4 + q

将

q

para o lado esquerdo

16 - q^{2} - q = 4

将

4

para o lado esquerdo

- q^{2} - q + 12 = 0

使用求根公式求解

q_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 1 ) \cdot 12}{2 ( - 1 )}

(- 1)^{2} - 4 (- 1) \cdot 12 = 7

q_{1, 2} = \frac{- ( - 1 ) \pm 7}{2 ( - 1 )}

将解分隔开

q_{1} = \frac{- ( - 1 ) + 7}{2 ( - 1 )}, q_{2} = \frac{- ( - 1 ) - 7}{2 ( - 1 )}

q = \frac{- ( - 1 ) + 7}{2 ( - 1 )} : - 4

q = \frac{- ( - 1 ) - 7}{2 ( - 1 )} : 3

二次方程组的解是:

q = - 4, q = 3

作图

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