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受欢迎的代数 >

12x^2-24x+5=0

解答

12 x^{2} - 24 x + 5 = 0

解答

x = \frac{6 + 21}{6}, x = \frac{6 - 21}{6}

+1

十进制

x = 1.76376 \dots, x = 0.23623 \dots

求解步骤

12 x^{2} - 24 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 12 \cdot 5}{2 \cdot 12}

(- 24)^{2} - 4 \cdot 12 \cdot 5 = 421

x_{1, 2} = \frac{- ( - 24 ) \pm 4 21}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 24 ) + 4 21}{2 \cdot 12}, x_{2} = \frac{- ( - 24 ) - 4 21}{2 \cdot 12}

x = \frac{- ( - 24 ) + 4 21}{2 \cdot 12} : \frac{6 + 21}{6}

x = \frac{- ( - 24 ) - 4 21}{2 \cdot 12} : \frac{6 - 21}{6}

二次方程组的解是:

x = \frac{6 + 21}{6}, x = \frac{6 - 21}{6}

作图

流行的例子

6 = 4 x - 5 x^{2}

20-x= 1/324 x^2+1

20 - x = \frac{1}{324} x^{2} + 1

h^{2} = 49

\frac{1}{2} x^{2} - 3 x + 4 = 0

2 x^{2} - 50 = 25 - x^{2}