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人気のある代数 >

completesquare x^2+15x+54

解

平方を完成

x^{2} + 15 x + 54

解

(x + \frac{15}{2})^{2} - \frac{9}{4}

解答ステップ

x^{2} + 15 x + 54

次の形式で

x^{2} + 15 x + 54

を書く:

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

2 a = 15 : a = \frac{15}{2}

加算と減算

(\frac{15}{2})^{2}

x^{2} + 15 x + 54 + (\frac{15}{2})^{2} - (\frac{15}{2})^{2}

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

x^{2} + 15 x + (\frac{15}{2})^{2} = (x + \frac{15}{2})^{2}

(x + \frac{15}{2})^{2} + 54 - (\frac{15}{2})^{2}

簡素化

(x + \frac{15}{2})^{2} - \frac{9}{4}

グラフ

人気の例

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(2 - x)^{2} = 2

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x^{2} + 0.1 x - 4.62 = 0

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