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人気のある代数 >

(14-m)x^2+(7+m)x+(m-2)=0

解

(14 - m) x^{2} + (7 + m) x + (m - 2) = 0

解

x = \frac{- 7 - m + 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}, x = \frac{- 7 - m - 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}; m \neq = 14

解答ステップ

(14 - m) x^{2} + (7 + m) x + (m - 2) = 0

拡張

(14 - m) x^{2} + (7 + m) x + (m - 2) : 14 x^{2} - m x^{2} + 7 x + m x + m - 2

14 x^{2} - m x^{2} + 7 x + m x + m - 2 = 0

標準的な形式で書く

a x^{2} + b x + c = 0

(14 - m) x^{2} + (7 + m) x + m - 2 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 7 + m ) \pm ( 7 + m ) ^{2} - 4 ( 14 - m ) ( m - 2 )}{2 ( 14 - m )}

簡素化

(7 + m)^{2} - 4 (14 - m) (m - 2) : 5 m^{2} - 50 m + 161

x_{1, 2} = \frac{- ( 7 + m ) \pm 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}; m \neq = 14

解を分離する

x_{1} = \frac{- ( 7 + m ) + 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}, x_{2} = \frac{- ( 7 + m ) - 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}

x = \frac{- ( 7 + m ) + 5 m ^{2} - 50 m + 161}{2 ( 14 - m )} : \frac{- 7 - m + 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}

x = \frac{- ( 7 + m ) - 5 m ^{2} - 50 m + 161}{2 ( 14 - m )} : \frac{- 7 - m - 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}

二次equationの解:

x = \frac{- 7 - m + 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}, x = \frac{- 7 - m - 5 m ^{2} - 50 m + 161}{2 ( 14 - m )}; m \neq = 14

グラフ

人気の例

300=(75x-0.5x^2)-(35x+300)

300 = (75 x - 0.5 x^{2}) - (35 x + 300)

2 y^{2} - 2 y - 4 = 0

x^{2} + 5 x = 1

9 x^{2} = - 7 x

solvefor x,x^2+xy+y^2=6

so l v e f or x, x^{2} + x y + y^{2} = 6