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受欢迎的代数 >

8/3 x^2-19-7/2 x=0

解答

\frac{8}{3} x^{2} - 19 - \frac{7}{2} x = 0

解答

x = \frac{21 + 7737}{32}, x = \frac{21 - 7737}{32}

+1

十进制

x = 3.40500 \dots, x = - 2.09250 \dots

求解步骤

\frac{8}{3} x^{2} - 19 - \frac{7}{2} x = 0

找到

3, 2

的最小公倍数:

6

乘以最小公倍数=

6

\frac{8}{3} x^{2} \cdot 6 - 19 \cdot 6 - \frac{7}{2} x \cdot 6 = 0 \cdot 6

化简

16 x^{2} - 21 x - 114 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 16 ( - 114 )}{2 \cdot 16}

(- 21)^{2} - 4 \cdot 16 (- 114) = 7737

x_{1, 2} = \frac{- ( - 21 ) \pm 7737}{2 \cdot 16}

将解分隔开

x_{1} = \frac{- ( - 21 ) + 7737}{2 \cdot 16}, x_{2} = \frac{- ( - 21 ) - 7737}{2 \cdot 16}

x = \frac{- ( - 21 ) + 7737}{2 \cdot 16} : \frac{21 + 7737}{32}

x = \frac{- ( - 21 ) - 7737}{2 \cdot 16} : \frac{21 - 7737}{32}

二次方程组的解是:

x = \frac{21 + 7737}{32}, x = \frac{21 - 7737}{32}

作图

流行的例子

x (x - 1) = 4 x

w^{2} - 5 w = 0

因式分解 x^2-9=0

f a c t or x^{2} - 9 = 0

0=-1/4 x^2-4/3 x+7

0 = - \frac{1}{4} x^{2} - \frac{4}{3} x + 7

120-92x+12x^2=0

120 - 92 x + 12 x^{2} = 0