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受欢迎的代数 >

-4n^2=6n+16-5n^2

解答

- 4 n^{2} = 6 n + 16 - 5 n^{2}

解答

n = - 2, n = 8

求解步骤

- 4 n^{2} = 6 n + 16 - 5 n^{2}

交换两边

6 n + 16 - 5 n^{2} = - 4 n^{2}

将

4 n^{2}

para o lado esquerdo

6 n + 16 - n^{2} = 0

改写成标准形式

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

- n^{2} + 6 n + 16 = 0

使用求根公式求解

n_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 1 ) \cdot 16}{2 ( - 1 )}

6^{2} - 4 (- 1) \cdot 16 = 10

n_{1, 2} = \frac{- 6 \pm 10}{2 ( - 1 )}

将解分隔开

n_{1} = \frac{- 6 + 10}{2 ( - 1 )}, n_{2} = \frac{- 6 - 10}{2 ( - 1 )}

n = \frac{- 6 + 10}{2 ( - 1 )} : - 2

n = \frac{- 6 - 10}{2 ( - 1 )} : 8

二次方程组的解是:

n = - 2, n = 8

作图

流行的例子

w^{2} - w - 12 = 0

(6 x + 10)^{2} = 125

4 x^{2} + 9 x = 9

2 x^{2} + 11 + 12 = 0

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