5X^2-15X-50=0

解

5 X^{2} - 15 X - 50 = 0

X = 5, X = - 2

解答ステップ

5 X^{2} - 15 X - 50 = 0

解くとthe二次式

X_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 5 ( - 50 )}{2 \cdot 5}

(- 15)^{2} - 4 \cdot 5 (- 50) = 35

X_{1, 2} = \frac{- ( - 15 ) \pm 35}{2 \cdot 5}

解を分離する

X_{1} = \frac{- ( - 15 ) + 35}{2 \cdot 5}, X_{2} = \frac{- ( - 15 ) - 35}{2 \cdot 5}

X = \frac{- ( - 15 ) + 35}{2 \cdot 5} : 5

X = \frac{- ( - 15 ) - 35}{2 \cdot 5} : - 2

二次equationの解:

X = 5, X = - 2