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受欢迎的代数 >

completesquare 20t^2-24t+65

解答

配方

20 t^{2} - 24 t + 65

解答

20 (t - \frac{3}{5})^{2} + \frac{289}{5}

求解步骤

20 t^{2} - 24 t + 65

将

20 t^{2} - 24 t + 65

改写为如下形式:

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

因式分解

20

20 (t^{2} - \frac{6 t}{5} + \frac{13}{4})

2 a = - \frac{6}{5} : a = - \frac{3}{5}

加和减

(- \frac{3}{5})^{2}

20 (t^{2} - \frac{6 t}{5} + \frac{13}{4} + (- \frac{3}{5})^{2} - (- \frac{3}{5})^{2})

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

t^{2} - \frac{6}{5} t + (- \frac{3}{5})^{2} = (t - \frac{3}{5})^{2}

20 ((t - \frac{3}{5})^{2} + \frac{13}{4} - (- \frac{3}{5})^{2})

化简

20 (t - \frac{3}{5})^{2} + \frac{289}{5}

作图

流行的例子

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120 n^{2} - 328 n = - 224

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