13x^2-144x+396=0

解

13 x^{2} - 144 x + 396 = 0

x = 6, x = \frac{66}{13}

十進法表記

x = 6, x = 5.07692 \dots

解答ステップ

13 x^{2} - 144 x + 396 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 144 ) \pm ( - 144 ) ^{2} - 4 \cdot 13 \cdot 396}{2 \cdot 13}

(- 144)^{2} - 4 \cdot 13 \cdot 396 = 12

x_{1, 2} = \frac{- ( - 144 ) \pm 12}{2 \cdot 13}

解を分離する

x_{1} = \frac{- ( - 144 ) + 12}{2 \cdot 13}, x_{2} = \frac{- ( - 144 ) - 12}{2 \cdot 13}

x = \frac{- ( - 144 ) + 12}{2 \cdot 13} : 6

x = \frac{- ( - 144 ) - 12}{2 \cdot 13} : \frac{66}{13}

二次equationの解:

x = 6, x = \frac{66}{13}