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人気のある代数 >

completesquare 2x^2+10x+13

解

平方を完成

2 x^{2} + 10 x + 13

解

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

解答ステップ

2 x^{2} + 10 x + 13

次の形式で

2 x^{2} + 10 x + 13

を書く:

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

くくり出す

2

2 (x^{2} + 5 x + \frac{13}{2})

2 a = 5 : a = \frac{5}{2}

加算と減算

(\frac{5}{2})^{2}

2 (x^{2} + 5 x + \frac{13}{2} + (\frac{5}{2})^{2} - (\frac{5}{2})^{2})

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

2 ((x + \frac{5}{2})^{2} + \frac{13}{2} - (\frac{5}{2})^{2})

簡素化

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

グラフ

人気の例

- 7 x^{2} + 63 = 7

因数 9x^2-1=0

f a c t or 9 x^{2} - 1 = 0

solvefor x,f(x+2)=3x^2+5x-2

so l v e f or x, f (x + 2) = 3 x^{2} + 5 x - 2

(x-7)^2+3(x+8)=2

(x - 7)^{2} + 3 (x + 8) = 2

8 x^{2} - 4 x - 4 = 0