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受欢迎的代数 >

2x^2-24x+52=0

解答

2 x^{2} - 24 x + 52 = 0

解答

x = 6 + 10, x = 6 - 10

+1

十进制

x = 9.16227 \dots, x = 2.83772 \dots

求解步骤

2 x^{2} - 24 x + 52 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 2 \cdot 52}{2 \cdot 2}

(- 24)^{2} - 4 \cdot 2 \cdot 52 = 410

x_{1, 2} = \frac{- ( - 24 ) \pm 4 10}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 24 ) + 4 10}{2 \cdot 2}, x_{2} = \frac{- ( - 24 ) - 4 10}{2 \cdot 2}

x = \frac{- ( - 24 ) + 4 10}{2 \cdot 2} : 6 + 10

x = \frac{- ( - 24 ) - 4 10}{2 \cdot 2} : 6 - 10

二次方程组的解是:

x = 6 + 10, x = 6 - 10

作图

流行的例子

-3-0.5x+13=0.3x+6.2

- 3 - 0.5 x + 13 = 0.3 x + 6.2

16 - x^{2} = - 19

4 x^{2} + 8 x - 45 = 0

因式分解 12x^2-12

f a c t or 12 x^{2} - 12

x^{2} = 0.34