-16x^2+450sqrt(2)x+3=0

解

- 16 x^{2} + 4502 x + 3 = 0

x = - \frac{- 225 2 + 101298}{16}, x = \frac{225 2 + 101298}{16}

十進法表記

x = - 0.00471 \dots, x = 39.77946 \dots

解答ステップ

- 16 x^{2} + 4502 x + 3 = 0

解くとthe二次式

x_{1, 2} = \frac{- 450 2 \pm ( 450 2 ) ^{2} - 4 ( - 16 ) \cdot 3}{2 ( - 16 )}

(4502)^{2} - 4 (- 16) \cdot 3 = 2101298

x_{1, 2} = \frac{- 450 2 \pm 2 101298}{2 ( - 16 )}

解を分離する

x_{1} = \frac{- 450 2 + 2 101298}{2 ( - 16 )}, x_{2} = \frac{- 450 2 - 2 101298}{2 ( - 16 )}

x = \frac{- 450 2 + 2 101298}{2 ( - 16 )} : - \frac{- 225 2 + 101298}{16}

x = \frac{- 450 2 - 2 101298}{2 ( - 16 )} : \frac{225 2 + 101298}{16}

二次equationの解:

x = - \frac{- 225 2 + 101298}{16}, x = \frac{225 2 + 101298}{16}