m^2-4sqrt(2)m+6=0

解

m^{2} - 42 m + 6 = 0

m = 32, m = 2

十進法表記

m = 4.24264 \dots, m = 1.41421 \dots

解答ステップ

m^{2} - 42 m + 6 = 0

解くとthe二次式

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

(- 42)^{2} - 4 \cdot 1 \cdot 6 = 22

m_{1, 2} = \frac{- ( - 4 2 ) \pm 2 2}{2 \cdot 1}

解を分離する

m_{1} = \frac{- ( - 4 2 ) + 2 2}{2 \cdot 1}, m_{2} = \frac{- ( - 4 2 ) - 2 2}{2 \cdot 1}

m = \frac{- ( - 4 2 ) + 2 2}{2 \cdot 1} : 32

m = \frac{- ( - 4 2 ) - 2 2}{2 \cdot 1} : 2

二次equationの解:

m = 32, m = 2