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人気のある代数 >

completesquare x^2+x-1

解

平方を完成

x^{2} + x - 1

解

(x + \frac{1}{2})^{2} - \frac{5}{4}

解答ステップ

x^{2} + x - 1

次の形式で

x^{2} + x - 1

を書く:

x^{2} + 2 a x + a^{2}

2 a = 1 : a = \frac{1}{2}

加算と減算

(\frac{1}{2})^{2}

x^{2} + x - 1 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

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

x^{2} + 1 x + (\frac{1}{2})^{2} = (x + \frac{1}{2})^{2}

(x + \frac{1}{2})^{2} - 1 - (\frac{1}{2})^{2}

簡素化

(x + \frac{1}{2})^{2} - \frac{5}{4}

グラフ

人気の例

completesquare x^2-24x

co m pl e t es q u a re x^{2} - 24 x

x^{2} - 12 x = 85

(2 x - 3)^{2} - 33 = 10

s^{2} + 2 s + 3 = 0

completesquare x^2+6x+10

co m pl e t es q u a re x^{2} + 6 x + 10