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受欢迎的代数 >

6x^2=3x-9

解答

6 x^{2} = 3 x - 9

解答

x = \frac{1}{4} + i \frac{23}{4}, x = \frac{1}{4} - i \frac{23}{4}

求解步骤

6 x^{2} = 3 x - 9

将

9

para o lado esquerdo

6 x^{2} + 9 = 3 x

将

3 x

para o lado esquerdo

6 x^{2} + 9 - 3 x = 0

改写成标准形式

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

6 x^{2} - 3 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 6 \cdot 9}{2 \cdot 6}

化简

(- 3)^{2} - 4 \cdot 6 \cdot 9 : 323 i

x_{1, 2} = \frac{- ( - 3 ) \pm 3 23 i}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 3 23 i}{2 \cdot 6}, x_{2} = \frac{- ( - 3 ) - 3 23 i}{2 \cdot 6}

x = \frac{- ( - 3 ) + 3 23 i}{2 \cdot 6} : \frac{1}{4} + i \frac{23}{4}

x = \frac{- ( - 3 ) - 3 23 i}{2 \cdot 6} : \frac{1}{4} - i \frac{23}{4}

二次方程组的解是:

x = \frac{1}{4} + i \frac{23}{4}, x = \frac{1}{4} - i \frac{23}{4}

作图

流行的例子

solvefor x,(x^2)/2+(y^2)/3+(z^2)/4 =1

so l v e f or x, \frac{x ^{2}}{2} + \frac{y ^{2}}{3} + \frac{z ^{2}}{4} = 1

x^{2} = e^{4}

s^{2} - 2 s - 2 = 0

3 (x + 1)^{2} + 4 = 22

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