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人気のある代数 >

a(x)=x^2-x+7,a(1)

解

a (x) = x^{2} - x + 7, a (1)

解

x = \frac{1 + a + a ^{2} + 2 a - 27}{2}, x = \frac{1 + a - a ^{2} + 2 a - 27}{2}

解答ステップ

a (x) = x^{2} - x + 7

改良

a x = x^{2} - x + 7

辺を交換する

x^{2} - x + 7 = a x

a x

を左側に移動します

x^{2} - x + 7 - a x = 0

標準的な形式で書く

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

x^{2} - (1 + a) x + 7 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 1 - a ) \pm ( - 1 - a ) ^{2} - 4 \cdot 1 \cdot 7}{2 \cdot 1}

簡素化

(- 1 - a)^{2} - 4 \cdot 1 \cdot 7 : a^{2} + 2 a - 27

x_{1, 2} = \frac{- ( - 1 - a ) \pm a ^{2} + 2 a - 27}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 1 - a ) + a ^{2} + 2 a - 27}{2 \cdot 1}, x_{2} = \frac{- ( - 1 - a ) - a ^{2} + 2 a - 27}{2 \cdot 1}

x = \frac{- ( - 1 - a ) + a ^{2} + 2 a - 27}{2 \cdot 1} : \frac{1 + a + a ^{2} + 2 a - 27}{2}

x = \frac{- ( - 1 - a ) - a ^{2} + 2 a - 27}{2 \cdot 1} : \frac{1 + a - a ^{2} + 2 a - 27}{2}

二次equationの解:

x = \frac{1 + a + a ^{2} + 2 a - 27}{2}, x = \frac{1 + a - a ^{2} + 2 a - 27}{2}

グラフ

人気の例

4 x^{2} - 12 x - 63 = 0

x^{2} + 6 x + 1 = - 4

因数 x^2+3x-18=0

f a c t or x^{2} + 3 x - 18 = 0

completesquare x^2+8x+5=0

co m pl e t es q u a re x^{2} + 8 x + 5 = 0

completesquare 5y^2+16y+64

co m pl e t es q u a re 5 y^{2} + 16 y + 64