solvefor x,x^2-8x+3=0

解

x, x^{2} - 8 x + 3 = 0

x = 4 + 13, x = 4 - 13

十進法表記

x = 7.60555 \dots, x = 0.39444 \dots

解答ステップ

x^{2} - 8 x + 3 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 3}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot 3 = 213

x_{1, 2} = \frac{- ( - 8 ) \pm 2 13}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 8 ) + 2 13}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 13}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 13}{2 \cdot 1} : 4 + 13

x = \frac{- ( - 8 ) - 2 13}{2 \cdot 1} : 4 - 13

二次equationの解:

x = 4 + 13, x = 4 - 13