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人気のある代数 >

solvefor a,f=3(a+h)^2-7(a+h)+2

解

解く

a, f = 3 (a + h)^{2} - 7 (a + h) + 2

解

a = \frac{- 6 h + 7 + 12 f + 25}{6}, a = \frac{- 6 h + 7 - 12 f + 25}{6}

解答ステップ

f = 3 (a + h)^{2} - 7 (a + h) + 2

拡張

3 (a + h)^{2} - 7 (a + h) + 2 : 3 a^{2} + 6 ah + 3 h^{2} - 7 a - 7 h + 2

f = 3 a^{2} + 6 ah + 3 h^{2} - 7 a - 7 h + 2

辺を交換する

3 a^{2} + 6 ah + 3 h^{2} - 7 a - 7 h + 2 = f

f

を左側に移動します

3 a^{2} + 6 ah + 3 h^{2} - 7 a - 7 h + 2 - f = 0

標準的な形式で書く

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

3 a^{2} + (6 h - 7) a + 3 h^{2} - 7 h + 2 - f = 0

解くとthe二次式

a_{1, 2} = \frac{- ( 6 h - 7 ) \pm ( 6 h - 7 ) ^{2} - 4 \cdot 3 ( 3 h ^{2} - 7 h + 2 - f )}{2 \cdot 3}

簡素化

(6 h - 7)^{2} - 4 \cdot 3 (3 h^{2} - 7 h + 2 - f) : 12 f + 25

a_{1, 2} = \frac{- ( 6 h - 7 ) \pm 12 f + 25}{2 \cdot 3}

解を分離する

a_{1} = \frac{- ( 6 h - 7 ) + 12 f + 25}{2 \cdot 3}, a_{2} = \frac{- ( 6 h - 7 ) - 12 f + 25}{2 \cdot 3}

a = \frac{- ( 6 h - 7 ) + 12 f + 25}{2 \cdot 3} : \frac{- 6 h + 7 + 12 f + 25}{6}

a = \frac{- ( 6 h - 7 ) - 12 f + 25}{2 \cdot 3} : \frac{- 6 h + 7 - 12 f + 25}{6}

二次equationの解:

a = \frac{- 6 h + 7 + 12 f + 25}{6}, a = \frac{- 6 h + 7 - 12 f + 25}{6}

グラフ

人気の例

4 x^{2} - 2 x = 3

x^{2} + 2 x + 1 = 3 x + 3

5 d^{2} + 15 d + 5 = - 6

completesquare 2x^2+4x-5

co m pl e t es q u a re 2 x^{2} + 4 x - 5

- 8 x^{2} + 4 x = - 5