30x^2+17ax-21a^2=0

解

30 x^{2} + 17 a x - 21 a^{2} = 0

x = \frac{3 a}{5}, x = - \frac{7 a}{6}

解答ステップ

30 x^{2} + 17 a x - 21 a^{2} = 0

解くとthe二次式

x_{1, 2} = \frac{- 17 a \pm ( 17 a ) ^{2} - 4 \cdot 30 ( - 21 a ^{2} )}{2 \cdot 30}

簡素化

(17 a)^{2} - 4 \cdot 30 (- 21 a^{2}) : 53 a

x_{1, 2} = \frac{- 17 a \pm 53 a}{2 \cdot 30}

解を分離する

x_{1} = \frac{- 17 a + 53 a}{2 \cdot 30}, x_{2} = \frac{- 17 a - 53 a}{2 \cdot 30}

x = \frac{- 17 a + 53 a}{2 \cdot 30} : \frac{3 a}{5}

x = \frac{- 17 a - 53 a}{2 \cdot 30} : - \frac{7 a}{6}

二次equationの解:

x = \frac{3 a}{5}, x = - \frac{7 a}{6}