a^2-7a+10=0

解

a^{2} - 7 a + 10 = 0

a = 5, a = 2

解答ステップ

a^{2} - 7 a + 10 = 0

解くとthe二次式

a_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 10}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot 10 = 3

a_{1, 2} = \frac{- ( - 7 ) \pm 3}{2 \cdot 1}

解を分離する

a_{1} = \frac{- ( - 7 ) + 3}{2 \cdot 1}, a_{2} = \frac{- ( - 7 ) - 3}{2 \cdot 1}

a = \frac{- ( - 7 ) + 3}{2 \cdot 1} : 5

a = \frac{- ( - 7 ) - 3}{2 \cdot 1} : 2

二次equationの解:

a = 5, a = 2