r^2+49r=0

解

r^{2} + 49 r = 0

r = 0, r = - 49

解答ステップ

r^{2} + 49 r = 0

解くとthe二次式

r_{1, 2} = \frac{- 49 \pm 4 9 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

4 9^{2} - 4 \cdot 1 \cdot 0 = 49

r_{1, 2} = \frac{- 49 \pm 49}{2 \cdot 1}

解を分離する

r_{1} = \frac{- 49 + 49}{2 \cdot 1}, r_{2} = \frac{- 49 - 49}{2 \cdot 1}

r = \frac{- 49 + 49}{2 \cdot 1} : 0

r = \frac{- 49 - 49}{2 \cdot 1} : - 49

二次equationの解:

r = 0, r = - 49