(9x-15)^2-2(9x-15)+1=0

解

(9 x - 15)^{2} - 2 (9 x - 15) + 1 = 0

x = \frac{16}{9}

十進法表記

x = 1.77777 \dots

解答ステップ

(9 x - 15)^{2} - 2 (9 x - 15) + 1 = 0

拡張

(9 x - 15)^{2} - 2 (9 x - 15) + 1 : 81 x^{2} - 288 x + 256

81 x^{2} - 288 x + 256 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 288 ) \pm ( - 288 ) ^{2} - 4 \cdot 81 \cdot 256}{2 \cdot 81}

(- 288)^{2} - 4 \cdot 81 \cdot 256 = 0

x_{1, 2} = \frac{- ( - 288 ) \pm 0}{2 \cdot 81}

x = \frac{- ( - 288 )}{2 \cdot 81}

\frac{- ( - 288 )}{2 \cdot 81} = \frac{16}{9}

x = \frac{16}{9}

二次equationの解:

x = \frac{16}{9}