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受欢迎的代数 >

completesquare 5y^2+16y+64

解答

配方

5 y^{2} + 16 y + 64

解答

5 (y + \frac{8}{5})^{2} + \frac{256}{5}

求解步骤

5 y^{2} + 16 y + 64

将

5 y^{2} + 16 y + 64

改写为如下形式:

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

因式分解

5

5 (y^{2} + \frac{16 y}{5} + \frac{64}{5})

2 a = \frac{16}{5} : a = \frac{8}{5}

加和减

(\frac{8}{5})^{2}

5 (y^{2} + \frac{16 y}{5} + \frac{64}{5} + (\frac{8}{5})^{2} - (\frac{8}{5})^{2})

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

y^{2} + \frac{16}{5} y + (\frac{8}{5})^{2} = (y + \frac{8}{5})^{2}

5 ((y + \frac{8}{5})^{2} + \frac{64}{5} - (\frac{8}{5})^{2})

化简

5 (y + \frac{8}{5})^{2} + \frac{256}{5}

作图

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