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受欢迎的代数 >

completesquare 9m^2-58m+24=0

解答

9 m^{2} - 58 m + 24 = 0

解答

m = 6, m = \frac{4}{9}

+1

十进制

m = 6, m = 0.44444 \dots

求解步骤

9 m^{2} - 58 m + 24 = 0

将

24

到右边

9 m^{2} - 58 m = - 24

两边除以

9

\frac{9 m ^{2} - 58 m}{9} = \frac{- 24}{9}

m^{2} - \frac{58 m}{9} = - \frac{8}{3}

改写为形式

(x + a)^{2} = b

(m - \frac{29}{9})^{2} = \frac{625}{81}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

m - \frac{29}{9} = \frac{625}{81} : m = 6

解

m - \frac{29}{9} = - \frac{625}{81} : m = \frac{4}{9}

二次方程组的解是:

m = 6, m = \frac{4}{9}

作图

流行的例子

0 = 5 x^{2} - 90

k^{2} - 10 k + 15 = 0

completesquare x^2-3x-5=0

co m pl e t es q u a re x^{2} - 3 x - 5 = 0

1.5= 1/2*9.8*x^2

1.5 = \frac{1}{2} \cdot 9.8 \cdot x^{2}

x^{2} + 1 + 1 = 0