-1/4 x^2+5x+24=0

解

- \frac{1}{4} x^{2} + 5 x + 24 = 0

x = - 4, x = 24

解答ステップ

- \frac{1}{4} x^{2} + 5 x + 24 = 0

以下で両辺を乗じる:

4

- x^{2} + 20 x + 96 = 0

解くとthe二次式

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 1 ) \cdot 96}{2 ( - 1 )}

2 0^{2} - 4 (- 1) \cdot 96 = 28

x_{1, 2} = \frac{- 20 \pm 28}{2 ( - 1 )}

解を分離する

x_{1} = \frac{- 20 + 28}{2 ( - 1 )}, x_{2} = \frac{- 20 - 28}{2 ( - 1 )}

x = \frac{- 20 + 28}{2 ( - 1 )} : - 4

x = \frac{- 20 - 28}{2 ( - 1 )} : 24

二次equationの解:

x = - 4, x = 24