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受欢迎的代数 >

n^2-n-5=-2n^2-2n^2

解答

n^{2} - n - 5 = - 2 n^{2} - 2 n^{2}

解答

n = \frac{1 + 101}{10}, n = \frac{1 - 101}{10}

+1

十进制

n = 1.10498 \dots, n = - 0.90498 \dots

求解步骤

n^{2} - n - 5 = - 2 n^{2} - 2 n^{2}

整理后得

n^{2} - n - 5 = - 4 n^{2}

将

4 n^{2}

para o lado esquerdo

5 n^{2} - n - 5 = 0

使用求根公式求解

n_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 5 ( - 5 )}{2 \cdot 5}

(- 1)^{2} - 4 \cdot 5 (- 5) = 101

n_{1, 2} = \frac{- ( - 1 ) \pm 101}{2 \cdot 5}

将解分隔开

n_{1} = \frac{- ( - 1 ) + 101}{2 \cdot 5}, n_{2} = \frac{- ( - 1 ) - 101}{2 \cdot 5}

n = \frac{- ( - 1 ) + 101}{2 \cdot 5} : \frac{1 + 101}{10}

n = \frac{- ( - 1 ) - 101}{2 \cdot 5} : \frac{1 - 101}{10}

二次方程组的解是:

n = \frac{1 + 101}{10}, n = \frac{1 - 101}{10}

作图

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