(x+4)^2-16(x+4)+63=0

解

(x + 4)^{2} - 16 (x + 4) + 63 = 0

x = 5, x = 3

解答ステップ

(x + 4)^{2} - 16 (x + 4) + 63 = 0

拡張

(x + 4)^{2} - 16 (x + 4) + 63 : x^{2} - 8 x + 15

x^{2} - 8 x + 15 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot 15 = 2

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

解を分離する

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

x = \frac{- ( - 8 ) + 2}{2 \cdot 1} : 5

x = \frac{- ( - 8 ) - 2}{2 \cdot 1} : 3

二次equationの解:

x = 5, x = 3