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人気のある代数 >

solvefor x,f(x+h)=3-5x-2x^2

解

解く

x, f (x + h) = 3 - 5 x - 2 x^{2}

解

x = - \frac{5 + f + f ^{2} + 10 f - 8 h f + 49}{4}, x = - \frac{5 + f - f ^{2} + 10 f - 8 h f + 49}{4}

解答ステップ

f (x + h) = 3 - 5 x - 2 x^{2}

拡張

f (x + h) : x f + h f

x f + h f = 3 - 5 x - 2 x^{2}

辺を交換する

3 - 5 x - 2 x^{2} = x f + h f

h f

を左側に移動します

3 - 5 x - 2 x^{2} - h f = x f

x f

を左側に移動します

3 - 5 x - 2 x^{2} - h f - x f = 0

標準的な形式で書く

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

- 2 x^{2} - (5 + f) x + 3 - h f = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 5 - f ) \pm ( - 5 - f ) ^{2} - 4 ( - 2 ) ( 3 - h f )}{2 ( - 2 )}

簡素化

(- 5 - f)^{2} - 4 (- 2) (3 - h f) : f^{2} + 10 f - 8 h f + 49

x_{1, 2} = \frac{- ( - 5 - f ) \pm f ^{2} + 10 f - 8 h f + 49}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 5 - f ) + f ^{2} + 10 f - 8 h f + 49}{2 ( - 2 )}, x_{2} = \frac{- ( - 5 - f ) - f ^{2} + 10 f - 8 h f + 49}{2 ( - 2 )}

x = \frac{- ( - 5 - f ) + f ^{2} + 10 f - 8 h f + 49}{2 ( - 2 )} : - \frac{5 + f + f ^{2} + 10 f - 8 h f + 49}{4}

x = \frac{- ( - 5 - f ) - f ^{2} + 10 f - 8 h f + 49}{2 ( - 2 )} : - \frac{5 + f - f ^{2} + 10 f - 8 h f + 49}{4}

二次equationの解:

x = - \frac{5 + f + f ^{2} + 10 f - 8 h f + 49}{4}, x = - \frac{5 + f - f ^{2} + 10 f - 8 h f + 49}{4}

グラフ

人気の例

solvefor x,f(x+2)=3x^2+4x-2

so l v e f or x, f (x + 2) = 3 x^{2} + 4 x - 2

x^{2} - 6 x - 39 = 0

199=0.1w^2+2.155w+19.985

199 = 0.1 w^{2} + 2.155 w + 19.985

49 x^{2} - 3 = 13

2x*(x-3)-x*(x-3)=0

2 x \cdot (x - 3) - x \cdot (x - 3) = 0