x^2=13+6x

解

x^{2} = 13 + 6 x

x = 3 + 22, x = 3 - 22

解答ステップ

x^{2} = 13 + 6 x

6 x

を左側に移動します

x^{2} - 6 x = 13

13

を左側に移動します

x^{2} - 6 x - 13 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 13 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 13) = 222

x_{1, 2} = \frac{- ( - 6 ) \pm 2 22}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 6 ) + 2 22}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 22}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 22}{2 \cdot 1} : 3 + 22

x = \frac{- ( - 6 ) - 2 22}{2 \cdot 1} : 3 - 22

二次equationの解:

x = 3 + 22, x = 3 - 22