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受欢迎的代数 >

(9x^2-0)/9-(4x-0)/4+6=0

解答

\frac{9 x ^{2} - 0}{9} - \frac{4 x - 0}{4} + 6 = 0

解答

x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

求解步骤

\frac{9 x ^{2} - 0}{9} - \frac{4 x - 0}{4} + 6 = 0

找到

9, 4

的最小公倍数:

36

乘以最小公倍数=

36

\frac{9 x ^{2} - 0}{9} \cdot 36 - \frac{4 x - 0}{4} \cdot 36 + 6 \cdot 36 = 0 \cdot 36

化简

36 x^{2} - 36 x + 216 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 36 \cdot 216}{2 \cdot 36}

化简

(- 36)^{2} - 4 \cdot 36 \cdot 216 : 3623 i

x_{1, 2} = \frac{- ( - 36 ) \pm 36 23 i}{2 \cdot 36}

将解分隔开

x_{1} = \frac{- ( - 36 ) + 36 23 i}{2 \cdot 36}, x_{2} = \frac{- ( - 36 ) - 36 23 i}{2 \cdot 36}

x = \frac{- ( - 36 ) + 36 23 i}{2 \cdot 36} : \frac{1}{2} + i \frac{23}{2}

x = \frac{- ( - 36 ) - 36 23 i}{2 \cdot 36} : \frac{1}{2} - i \frac{23}{2}

二次方程组的解是:

x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

作图

流行的例子

30.7*x^2+57=Ax(x+33.3)+B*(x+33.3)+C*x^2

30.7 \cdot x^{2} + 57 = A x (x + 33.3) + B \cdot (x + 33.3) + C \cdot x^{2}

3(4/5)x^2+6x-5=0

3 (\frac{4}{5}) x^{2} + 6 x - 5 = 0

x^{2} + 2 x + c = 0

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