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人気のある代数 >

x^2+(d+6)x+8d=0

解

x^{2} + (d + 6) x + 8 d = 0

解

x = \frac{- d - 6 + d ^{2} - 20 d + 36}{2}, x = \frac{- d - 6 - d ^{2} - 20 d + 36}{2}

解答ステップ

x^{2} + (d + 6) x + 8 d = 0

解くとthe二次式

x_{1, 2} = \frac{- ( d + 6 ) \pm ( d + 6 ) ^{2} - 4 \cdot 1 \cdot 8 d}{2 \cdot 1}

簡素化

(d + 6)^{2} - 4 \cdot 1 \cdot 8 d : d^{2} - 20 d + 36

x_{1, 2} = \frac{- ( d + 6 ) \pm d ^{2} - 20 d + 36}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( d + 6 ) + d ^{2} - 20 d + 36}{2 \cdot 1}, x_{2} = \frac{- ( d + 6 ) - d ^{2} - 20 d + 36}{2 \cdot 1}

x = \frac{- ( d + 6 ) + d ^{2} - 20 d + 36}{2 \cdot 1} : \frac{- d - 6 + d ^{2} - 20 d + 36}{2}

x = \frac{- ( d + 6 ) - d ^{2} - 20 d + 36}{2 \cdot 1} : \frac{- d - 6 - d ^{2} - 20 d + 36}{2}

二次equationの解:

x = \frac{- d - 6 + d ^{2} - 20 d + 36}{2}, x = \frac{- d - 6 - d ^{2} - 20 d + 36}{2}

グラフ

人気の例

3 x^{2} - 4 x = 7

36 x^{2} - 16 = 0

s^{2} + 7 s + 10 = 0

2 x^{2} + 7 x + 9 = 0

λ^{2} - 5 λ + 6 = 0