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受欢迎的代数 >

4x+5/15 x^2+7x-2-2x+3/12 x^2-7x-10-2x-5/20 x^2-29x+5=0

解答

4 x + \frac{5}{15} x^{2} + 7 x - 2 - 2 x + \frac{3}{12} x^{2} - 7 x - 10 - 2 x - \frac{5}{20} x^{2} - 29 x + 5 = 0

解答

x = \frac{87 + 7653}{2}, x = \frac{87 - 7653}{2}

+1

十进制

x = 87.24071 \dots, x = - 0.24071 \dots

求解步骤

4 x + \frac{5}{15} x^{2} + 7 x - 2 - 2 x + \frac{3}{12} x^{2} - 7 x - 10 - 2 x - \frac{5}{20} x^{2} - 29 x + 5 = 0

找到

15, 12, 20

的最小公倍数:

60

乘以最小公倍数=

60

4 x \cdot 60 + \frac{5}{15} x^{2} \cdot 60 + 7 x \cdot 60 - 2 \cdot 60 - 2 x \cdot 60 + \frac{3}{12} x^{2} \cdot 60 - 7 x \cdot 60 - 10 \cdot 60 - 2 x \cdot 60 - \frac{5}{20} x^{2} \cdot 60 - 29 x \cdot 60 + 5 \cdot 60 = 0 \cdot 60

化简

240 x + 20 x^{2} + 420 x - 120 - 120 x + 15 x^{2} - 420 x - 600 - 120 x - 15 x^{2} - 1740 x + 300 = 0

20 x^{2} - 1740 x - 420 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1740 ) \pm ( - 1740 ) ^{2} - 4 \cdot 20 ( - 420 )}{2 \cdot 20}

(- 1740)^{2} - 4 \cdot 20 (- 420) = 207653

x_{1, 2} = \frac{- ( - 1740 ) \pm 20 7653}{2 \cdot 20}

将解分隔开

x_{1} = \frac{- ( - 1740 ) + 20 7653}{2 \cdot 20}, x_{2} = \frac{- ( - 1740 ) - 20 7653}{2 \cdot 20}

x = \frac{- ( - 1740 ) + 20 7653}{2 \cdot 20} : \frac{87 + 7653}{2}

x = \frac{- ( - 1740 ) - 20 7653}{2 \cdot 20} : \frac{87 - 7653}{2}

二次方程组的解是:

x = \frac{87 + 7653}{2}, x = \frac{87 - 7653}{2}

作图

流行的例子

因式分解 y^2+1y-6

f a c t or y^{2} + 1 y - 6

因式分解-8-p^3

f a c t or - 8 - p^{3}

log_{4/9}(27/8)=x

lo g_{\frac{4}{9}} (\frac{27}{8}) = x

x < 2 and x > - 3

2 (x + 9) < 0