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人気のある代数 >

completesquare 2x^2+9x+9

解

平方を完成

2 x^{2} + 9 x + 9

解

2 (x + \frac{9}{4})^{2} - \frac{9}{8}

解答ステップ

2 x^{2} + 9 x + 9

次の形式で

2 x^{2} + 9 x + 9

を書く:

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

くくり出す

2

2 (x^{2} + \frac{9 x}{2} + \frac{9}{2})

2 a = \frac{9}{2} : a = \frac{9}{4}

加算と減算

(\frac{9}{4})^{2}

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

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

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

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

簡素化

2 (x + \frac{9}{4})^{2} - \frac{9}{8}

グラフ

人気の例

5^2=(x+1)^2+x^2

5^{2} = (x + 1)^{2} + x^{2}

completesquare 2x^2+9x+4

co m pl e t es q u a re 2 x^{2} + 9 x + 4

8x^2-2(x+10)=10x

8 x^{2} - 2 (x + 10) = 10 x

(2 x + 1) (x - 2) = 5

solvefor x,x^2+y^2+18=0

so l v e f or x, x^{2} + y^{2} + 18 = 0