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人気のある代数 >

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

解

解く

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

解

x = \frac{f + f ^{2} - 8 ( 3 - 2 f )}{4}, x = \frac{f - f ^{2} - 8 ( 3 - 2 f )}{4}

解答ステップ

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

拡張

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

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

辺を交換する

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

2 f

を左側に移動します

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

x f

を左側に移動します

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

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(- f)^{2} - 4 \cdot 2 (3 - 2 f) : f^{2} - 8 (3 - 2 f)

x_{1, 2} = \frac{- ( - f ) \pm f ^{2} - 8 ( 3 - 2 f )}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - f ) + f ^{2} - 8 ( 3 - 2 f )}{2 \cdot 2}, x_{2} = \frac{- ( - f ) - f ^{2} - 8 ( 3 - 2 f )}{2 \cdot 2}

x = \frac{- ( - f ) + f ^{2} - 8 ( 3 - 2 f )}{2 \cdot 2} : \frac{f + f ^{2} - 8 ( 3 - 2 f )}{4}

x = \frac{- ( - f ) - f ^{2} - 8 ( 3 - 2 f )}{2 \cdot 2} : \frac{f - f ^{2} - 8 ( 3 - 2 f )}{4}

二次equationの解:

x = \frac{f + f ^{2} - 8 ( 3 - 2 f )}{4}, x = \frac{f - f ^{2} - 8 ( 3 - 2 f )}{4}

グラフ

人気の例

y (y - 4) = - 8

solvefor y,36+y^2+z^2=4

so l v e f or y, 36 + y^{2} + z^{2} = 4

solvefor x,f(x-2)=x^2

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

15 = x^{2}

(x + 1)^{2} - 8 = 0