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受欢迎的代数 >

-X^2+5X-100=0

解答

- X^{2} + 5 X - 100 = 0

解答

X = \frac{5}{2} - i \frac{5 15}{2}, X = \frac{5}{2} + i \frac{5 15}{2}

求解步骤

- X^{2} + 5 X - 100 = 0

使用求根公式求解

X_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 1 ) ( - 100 )}{2 ( - 1 )}

化简

5^{2} - 4 (- 1) (- 100) : 515 i

X_{1, 2} = \frac{- 5 \pm 5 15 i}{2 ( - 1 )}

将解分隔开

X_{1} = \frac{- 5 + 5 15 i}{2 ( - 1 )}, X_{2} = \frac{- 5 - 5 15 i}{2 ( - 1 )}

X = \frac{- 5 + 5 15 i}{2 ( - 1 )} : \frac{5}{2} - i \frac{5 15}{2}

X = \frac{- 5 - 5 15 i}{2 ( - 1 )} : \frac{5}{2} + i \frac{5 15}{2}

二次方程组的解是:

X = \frac{5}{2} - i \frac{5 15}{2}, X = \frac{5}{2} + i \frac{5 15}{2}

作图

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