30.7886X^2+68.4915X-60=0

解

30.7886 X^{2} + 68.4915 X - 60 = 0

X = \frac{- 68.4915 + 12080.34957 \dots}{61.5772}, X = \frac{- 68.4915 - 12080.34957 \dots}{61.5772}

十進法表記

X = 0.67263 \dots, X = - 2.89721 \dots

解答ステップ

30.7886 X^{2} + 68.4915 X - 60 = 0

解くとthe二次式

X_{1, 2} = \frac{- 68.4915 \pm 68.491 5 ^{2} - 4 \cdot 30.7886 ( - 60 )}{2 \cdot 30.7886}

68.491 5^{2} - 4 \cdot 30.7886 (- 60) = 12080.34957 \dots

X_{1, 2} = \frac{- 68.4915 \pm 12080.34957 \dots}{2 \cdot 30.7886}

解を分離する

X_{1} = \frac{- 68.4915 + 12080.34957 \dots}{2 \cdot 30.7886}, X_{2} = \frac{- 68.4915 - 12080.34957 \dots}{2 \cdot 30.7886}

X = \frac{- 68.4915 + 12080.34957 \dots}{2 \cdot 30.7886} : \frac{- 68.4915 + 12080.34957 \dots}{61.5772}

X = \frac{- 68.4915 - 12080.34957 \dots}{2 \cdot 30.7886} : \frac{- 68.4915 - 12080.34957 \dots}{61.5772}

二次equationの解:

X = \frac{- 68.4915 + 12080.34957 \dots}{61.5772}, X = \frac{- 68.4915 - 12080.34957 \dots}{61.5772}