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人気のある代数 >

solvefor x,f(x+4)=3x^2-6x

解

解く

x, f (x + 4) = 3 x^{2} - 6 x

解

x = \frac{6 + f + f ^{2} + 60 f + 36}{6}, x = \frac{6 + f - f ^{2} + 60 f + 36}{6}

解答ステップ

f (x + 4) = 3 x^{2} - 6 x

拡張

f (x + 4) : x f + 4 f

x f + 4 f = 3 x^{2} - 6 x

辺を交換する

3 x^{2} - 6 x = x f + 4 f

4 f

を左側に移動します

3 x^{2} - 6 x - 4 f = x f

x f

を左側に移動します

3 x^{2} - 6 x - 4 f - x f = 0

標準的な形式で書く

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

3 x^{2} - (6 + f) x - 4 f = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 - f ) \pm ( - 6 - f ) ^{2} - 4 \cdot 3 ( - 4 f )}{2 \cdot 3}

簡素化

(- 6 - f)^{2} - 4 \cdot 3 (- 4 f) : f^{2} + 60 f + 36

x_{1, 2} = \frac{- ( - 6 - f ) \pm f ^{2} + 60 f + 36}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 6 - f ) + f ^{2} + 60 f + 36}{2 \cdot 3}, x_{2} = \frac{- ( - 6 - f ) - f ^{2} + 60 f + 36}{2 \cdot 3}

x = \frac{- ( - 6 - f ) + f ^{2} + 60 f + 36}{2 \cdot 3} : \frac{6 + f + f ^{2} + 60 f + 36}{6}

x = \frac{- ( - 6 - f ) - f ^{2} + 60 f + 36}{2 \cdot 3} : \frac{6 + f - f ^{2} + 60 f + 36}{6}

二次equationの解:

x = \frac{6 + f + f ^{2} + 60 f + 36}{6}, x = \frac{6 + f - f ^{2} + 60 f + 36}{6}

グラフ

人気の例

3 x - 9 x^{2} = 0

4hg^3= 1/3 h^2k

4 h g^{3} = \frac{1}{3} h^{2} k

(3 x - 4)^{2} = 7

solvefor t,x=9t^2

so l v e f or t, x = 9 t^{2}

x^{2} = (- 2) - 4