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受欢迎的代数 >

36x^2-24x+4=9

解答

36 x^{2} - 24 x + 4 = 9

解答

x = \frac{5}{6}, x = - \frac{1}{6}

+1

十进制

x = 0.83333 \dots, x = - 0.16666 \dots

求解步骤

36 x^{2} - 24 x + 4 = 9

将

9

para o lado esquerdo

36 x^{2} - 24 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 36 ( - 5 )}{2 \cdot 36}

(- 24)^{2} - 4 \cdot 36 (- 5) = 36

x_{1, 2} = \frac{- ( - 24 ) \pm 36}{2 \cdot 36}

将解分隔开

x_{1} = \frac{- ( - 24 ) + 36}{2 \cdot 36}, x_{2} = \frac{- ( - 24 ) - 36}{2 \cdot 36}

x = \frac{- ( - 24 ) + 36}{2 \cdot 36} : \frac{5}{6}

x = \frac{- ( - 24 ) - 36}{2 \cdot 36} : - \frac{1}{6}

二次方程组的解是:

x = \frac{5}{6}, x = - \frac{1}{6}

作图

流行的例子

x + 23 = x^{2} + 6 x + 9

b^{2} = b + 3

1 = (x - 6)^{2}

- x^{2} + 7 = - 42

t^{2} - 5 t - 14 = 0