a^2+24a+135=0

解

a^{2} + 24 a + 135 = 0

a = - 9, a = - 15

解答ステップ

a^{2} + 24 a + 135 = 0

解くとthe二次式

a_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 1 \cdot 135}{2 \cdot 1}

2 4^{2} - 4 \cdot 1 \cdot 135 = 6

a_{1, 2} = \frac{- 24 \pm 6}{2 \cdot 1}

解を分離する

a_{1} = \frac{- 24 + 6}{2 \cdot 1}, a_{2} = \frac{- 24 - 6}{2 \cdot 1}

a = \frac{- 24 + 6}{2 \cdot 1} : - 9

a = \frac{- 24 - 6}{2 \cdot 1} : - 15

二次equationの解:

a = - 9, a = - 15