10x^2+50x+60=0

解

10 x^{2} + 50 x + 60 = 0

x = - 2, x = - 3

解答ステップ

10 x^{2} + 50 x + 60 = 0

解くとthe二次式

x_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 \cdot 10 \cdot 60}{2 \cdot 10}

5 0^{2} - 4 \cdot 10 \cdot 60 = 10

x_{1, 2} = \frac{- 50 \pm 10}{2 \cdot 10}

解を分離する

x_{1} = \frac{- 50 + 10}{2 \cdot 10}, x_{2} = \frac{- 50 - 10}{2 \cdot 10}

x = \frac{- 50 + 10}{2 \cdot 10} : - 2

x = \frac{- 50 - 10}{2 \cdot 10} : - 3

二次equationの解:

x = - 2, x = - 3