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人気のある代数 >

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

解

解く

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

解

x = \frac{- 2 + f + f ^{2} - 20 f + 28}{2}, x = \frac{- 2 + f - f ^{2} - 20 f + 28}{2}

解答ステップ

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

拡張

f (x - 4) : x f - 4 f

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

辺を交換する

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

4 f

を左側に移動します

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

x f

を左側に移動します

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

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(2 - f)^{2} - 4 \cdot 1 \cdot (- 6 + 4 f) : f^{2} - 20 f + 28

x_{1, 2} = \frac{- ( 2 - f ) \pm f ^{2} - 20 f + 28}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( 2 - f ) + f ^{2} - 20 f + 28}{2 \cdot 1}, x_{2} = \frac{- ( 2 - f ) - f ^{2} - 20 f + 28}{2 \cdot 1}

x = \frac{- ( 2 - f ) + f ^{2} - 20 f + 28}{2 \cdot 1} : \frac{- 2 + f + f ^{2} - 20 f + 28}{2}

x = \frac{- ( 2 - f ) - f ^{2} - 20 f + 28}{2 \cdot 1} : \frac{- 2 + f - f ^{2} - 20 f + 28}{2}

二次equationの解:

x = \frac{- 2 + f + f ^{2} - 20 f + 28}{2}, x = \frac{- 2 + f - f ^{2} - 20 f + 28}{2}

グラフ

人気の例

solvefor z,2q^2=z^2*p^2*(1-p^2)

so l v e f or z, 2 q^{2} = z^{2} \cdot p^{2} \cdot (1 - p^{2})

(((4/3)a+5)/3)^2=100

(\frac{( \frac{4}{3} ) a + 5}{3})^{2} = 100

solvefor x,(x-3)^2+(y-6)^2=0

so l v e f or x, (x - 3)^{2} + (y - 6)^{2} = 0

x^2+2(m-1)x+(m+5)=0

x^{2} + 2 (m - 1) x + (m + 5) = 0

solvefor x,f(2x-1)=4x^2-10x+a

so l v e f or x, f (2 x - 1) = 4 x^{2} - 10 x + a