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人気のある代数 >

A(x)=(x+1)^2-4

解

A (x) = (x + 1)^{2} - 4

解

x = \frac{- 2 + A + A ^{2} - 4 A + 16}{2}, x = \frac{- 2 + A - A ^{2} - 4 A + 16}{2}

解答ステップ

A (x) = (x + 1)^{2} - 4

拡張

(x + 1)^{2} - 4 : x^{2} + 2 x - 3

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

辺を交換する

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

A x

を左側に移動します

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

標準的な形式で書く

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

x^{2} + (2 - A) x - 3 = 0

解くとthe二次式

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

簡素化

(2 - A)^{2} - 4 \cdot 1 \cdot (- 3) : A^{2} - 4 A + 16

x_{1, 2} = \frac{- ( 2 - A ) \pm A ^{2} - 4 A + 16}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( 2 - A ) + A ^{2} - 4 A + 16}{2 \cdot 1}, x_{2} = \frac{- ( 2 - A ) - A ^{2} - 4 A + 16}{2 \cdot 1}

x = \frac{- ( 2 - A ) + A ^{2} - 4 A + 16}{2 \cdot 1} : \frac{- 2 + A + A ^{2} - 4 A + 16}{2}

x = \frac{- ( 2 - A ) - A ^{2} - 4 A + 16}{2 \cdot 1} : \frac{- 2 + A - A ^{2} - 4 A + 16}{2}

二次equationの解:

x = \frac{- 2 + A + A ^{2} - 4 A + 16}{2}, x = \frac{- 2 + A - A ^{2} - 4 A + 16}{2}

グラフ

人気の例

completesquare x^2-6x+13=0

co m pl e t es q u a re x^{2} - 6 x + 13 = 0

5 x^{2} - 16 x = - 2 x + 3

solvefor x,x^2+w^2=0

so l v e f or x, x^{2} + w^{2} = 0

- 9 x^{2} = 108

- 3 x^{2} = - 15 x