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受欢迎的代数 >

180+6q-4q^2=2q^2

解答

180 + 6 q - 4 q^{2} = 2 q^{2}

解答

q = - 5, q = 6

求解步骤

180 + 6 q - 4 q^{2} = 2 q^{2}

将

2 q^{2}

para o lado esquerdo

180 + 6 q - 6 q^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

- 6 q^{2} + 6 q + 180 = 0

使用求根公式求解

q_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 6 ) \cdot 180}{2 ( - 6 )}

6^{2} - 4 (- 6) \cdot 180 = 66

q_{1, 2} = \frac{- 6 \pm 66}{2 ( - 6 )}

将解分隔开

q_{1} = \frac{- 6 + 66}{2 ( - 6 )}, q_{2} = \frac{- 6 - 66}{2 ( - 6 )}

q = \frac{- 6 + 66}{2 ( - 6 )} : - 5

q = \frac{- 6 - 66}{2 ( - 6 )} : 6

二次方程组的解是:

q = - 5, q = 6

作图

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