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受欢迎的代数 >

n^2+15n=-43

解答

n^{2} + 15 n = - 43

解答

n = \frac{- 15 + 53}{2}, n = \frac{- 15 - 53}{2}

+1

十进制

n = - 3.85994 \dots, n = - 11.14005 \dots

求解步骤

n^{2} + 15 n = - 43

将

43

para o lado esquerdo

n^{2} + 15 n + 43 = 0

使用求根公式求解

n_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 1 \cdot 43}{2 \cdot 1}

1 5^{2} - 4 \cdot 1 \cdot 43 = 53

n_{1, 2} = \frac{- 15 \pm 53}{2 \cdot 1}

将解分隔开

n_{1} = \frac{- 15 + 53}{2 \cdot 1}, n_{2} = \frac{- 15 - 53}{2 \cdot 1}

n = \frac{- 15 + 53}{2 \cdot 1} : \frac{- 15 + 53}{2}

n = \frac{- 15 - 53}{2 \cdot 1} : \frac{- 15 - 53}{2}

二次方程组的解是:

n = \frac{- 15 + 53}{2}, n = \frac{- 15 - 53}{2}

作图

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