64x^2-4100x+5220=0

解

64 x^{2} - 4100 x + 5220 = 0

x = \frac{1025 + 967105}{32}, x = \frac{1025 - 967105}{32}

十進法表記

x = 62.76296 \dots, x = 1.29953 \dots

解答ステップ

64 x^{2} - 4100 x + 5220 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 4100 ) \pm ( - 4100 ) ^{2} - 4 \cdot 64 \cdot 5220}{2 \cdot 64}

(- 4100)^{2} - 4 \cdot 64 \cdot 5220 = 4967105

x_{1, 2} = \frac{- ( - 4100 ) \pm 4 967105}{2 \cdot 64}

解を分離する

x_{1} = \frac{- ( - 4100 ) + 4 967105}{2 \cdot 64}, x_{2} = \frac{- ( - 4100 ) - 4 967105}{2 \cdot 64}

x = \frac{- ( - 4100 ) + 4 967105}{2 \cdot 64} : \frac{1025 + 967105}{32}

x = \frac{- ( - 4100 ) - 4 967105}{2 \cdot 64} : \frac{1025 - 967105}{32}

二次equationの解:

x = \frac{1025 + 967105}{32}, x = \frac{1025 - 967105}{32}