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受欢迎的代数 >

completesquare 10x^2-19x+6

解答

配方

10 x^{2} - 19 x + 6

解答

10 (x - \frac{19}{20})^{2} - \frac{121}{40}

求解步骤

10 x^{2} - 19 x + 6

将

10 x^{2} - 19 x + 6

改写为如下形式:

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

因式分解

10

10 (x^{2} - \frac{19 x}{10} + \frac{3}{5})

2 a = - \frac{19}{10} : a = - \frac{19}{20}

加和减

(- \frac{19}{20})^{2}

10 (x^{2} - \frac{19 x}{10} + \frac{3}{5} + (- \frac{19}{20})^{2} - (- \frac{19}{20})^{2})

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

x^{2} - \frac{19}{10} x + (- \frac{19}{20})^{2} = (x - \frac{19}{20})^{2}

10 ((x - \frac{19}{20})^{2} + \frac{3}{5} - (- \frac{19}{20})^{2})

化简

10 (x - \frac{19}{20})^{2} - \frac{121}{40}

作图

流行的例子

2 x^{2} + 12 x + 6 = 0

x^{2} + 17 x + 70 = 0

x (x - 3) = 5 x + 1

completesquare x^2-4x+1=0

co m pl e t es q u a re x^{2} - 4 x + 1 = 0

0=-4.9t^2+19.6t+58.8

0 = - 4.9 t^{2} + 19.6 t + 58.8