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受欢迎的代数 >

3x^2-3x+5=0

解答

3 x^{2} - 3 x + 5 = 0

解答

x = \frac{1}{2} + i \frac{51}{6}, x = \frac{1}{2} - i \frac{51}{6}

求解步骤

3 x^{2} - 3 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

化简

(- 3)^{2} - 4 \cdot 3 \cdot 5 : 51 i

x_{1, 2} = \frac{- ( - 3 ) \pm 51 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 51 i}{2 \cdot 3}, x_{2} = \frac{- ( - 3 ) - 51 i}{2 \cdot 3}

x = \frac{- ( - 3 ) + 51 i}{2 \cdot 3} : \frac{1}{2} + i \frac{51}{6}

x = \frac{- ( - 3 ) - 51 i}{2 \cdot 3} : \frac{1}{2} - i \frac{51}{6}

二次方程组的解是:

x = \frac{1}{2} + i \frac{51}{6}, x = \frac{1}{2} - i \frac{51}{6}

作图

流行的例子

x^{2} - 14 x + 53 = 9

- (3 x - 12) = 9 x - 4

9x-4x+4>= 36-12

9 x - 4 x + 4 \geq 36 - 12

因式分解 18u^2-3uv-36v^2

f a c t or 18 u^{2} - 3 uv - 36 v^{2}

4 n - 40 = 7 (- 2 n + 2)