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受欢迎的代数 >

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

解答

x^{2} + \frac{3}{6} x + \frac{4}{6} = 0

解答

x = - \frac{3}{12} + i \frac{93}{12}, x = - \frac{3}{12} - i \frac{93}{12}

求解步骤

x^{2} + \frac{3}{6} x + \frac{4}{6} = 0

在两边乘以

6

6 x^{2} + 3 x + 4 = 0

使用求根公式求解

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

化简

(3)^{2} - 4 \cdot 6 \cdot 4 : 93 i

x_{1, 2} = \frac{- 3 \pm 93 i}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 3 + 93 i}{2 \cdot 6}, x_{2} = \frac{- 3 - 93 i}{2 \cdot 6}

x = \frac{- 3 + 93 i}{2 \cdot 6} : - \frac{3}{12} + i \frac{93}{12}

x = \frac{- 3 - 93 i}{2 \cdot 6} : - \frac{3}{12} - i \frac{93}{12}

二次方程组的解是:

x = - \frac{3}{12} + i \frac{93}{12}, x = - \frac{3}{12} - i \frac{93}{12}

作图

流行的例子

solvefor S,A=5*M*N*S^2

so l v e f or S, A = 5 \cdot M \cdot N \cdot S^{2}

y^{2} - y = 2

0=12x^2-168x+405

0 = 12 x^{2} - 168 x + 405

x^{2} + a x = 0

x^{2} + x + 13 = 0