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人気のある代数 >

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

解

解く

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

解

x = \frac{f + f ^{2} - 12 ( 5 - 2 f )}{6}, x = \frac{f - f ^{2} - 12 ( 5 - 2 f )}{6}

解答ステップ

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

拡張

f (x + 2) : x f + 2 f

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

辺を交換する

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

2 f

を左側に移動します

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

x f

を左側に移動します

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

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(- f)^{2} - 4 \cdot 3 (5 - 2 f) : f^{2} - 12 (5 - 2 f)

x_{1, 2} = \frac{- ( - f ) \pm f ^{2} - 12 ( 5 - 2 f )}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - f ) + f ^{2} - 12 ( 5 - 2 f )}{2 \cdot 3}, x_{2} = \frac{- ( - f ) - f ^{2} - 12 ( 5 - 2 f )}{2 \cdot 3}

x = \frac{- ( - f ) + f ^{2} - 12 ( 5 - 2 f )}{2 \cdot 3} : \frac{f + f ^{2} - 12 ( 5 - 2 f )}{6}

x = \frac{- ( - f ) - f ^{2} - 12 ( 5 - 2 f )}{2 \cdot 3} : \frac{f - f ^{2} - 12 ( 5 - 2 f )}{6}

二次equationの解:

x = \frac{f + f ^{2} - 12 ( 5 - 2 f )}{6}, x = \frac{f - f ^{2} - 12 ( 5 - 2 f )}{6}

グラフ

人気の例

2x(x-2)=8x^2-5x

2 x (x - 2) = 8 x^{2} - 5 x

solvefor x,1-1.4x+0.6x^2=0

so l v e f or x, 1 - 1.4 x + 0.6 x^{2} = 0

solvefor x,4x^2=(y-x)^2

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

2 x^{2} - 7 = - 169

0.02x^2-0.3x-20=0

0.02 x^{2} - 0.3 x - 20 = 0